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Finding the Fourth Proportional to 13,241.16, 19,869.94 and 7,697.11

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Solution

The fourth proportional to 13,241.16, 19,869.94 and 7,697.11 is: 11,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.16 : 19,869.94 = 7,697.11 : x
  2. Step 2: Convert to fraction form
    13,241.16/19,869.94 = 7,697.11/x
  3. Step 3: Cross multiply
    13,241.16x = 19,869.94 × 7,697.11
  4. Step 4: Simplify right side
    13,241.16x = 152,941,113.87
  5. Step 5: Solve for x
    x = 152,941,113.87/13,241.16
  6. Step 6: Final answer
    x = 11,550.43

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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.