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Finding the Fourth Proportional to 11,809,602.80, 17,714,404.20 and 3,831,426.80

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Solution

The fourth proportional to 11,809,602.80, 17,714,404.20 and 3,831,426.80 is: 5,747,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809,602.80 : 17,714,404.20 = 3,831,426.80 : x
  2. Step 2: Convert to fraction form
    11,809,602.80/17,714,404.20 = 3,831,426.80/x
  3. Step 3: Cross multiply
    11,809,602.80x = 17,714,404.20 × 3,831,426.80
  4. Step 4: Simplify right side
    11,809,602.80x = 67,871,442,997,912.55
  5. Step 5: Solve for x
    x = 67,871,442,997,912.55/11,809,602.80
  6. Step 6: Final answer
    x = 5,747,140.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.