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Finding the Fourth Proportional to 13,101.96, 19,649.90 and 3,741.78

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Solution

The fourth proportional to 13,101.96, 19,649.90 and 3,741.78 is: 5,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.96 : 19,649.90 = 3,741.78 : x
  2. Step 2: Convert to fraction form
    13,101.96/19,649.90 = 3,741.78/x
  3. Step 3: Cross multiply
    13,101.96x = 19,649.90 × 3,741.78
  4. Step 4: Simplify right side
    13,101.96x = 73,525,602.82
  5. Step 5: Solve for x
    x = 73,525,602.82/13,101.96
  6. Step 6: Final answer
    x = 5,611.80

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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.