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Finding the Fourth Proportional to 13,253.76, 19,862 and 10,468.16

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Solution

The fourth proportional to 13,253.76, 19,862 and 10,468.16 is: 15,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.76 : 19,862 = 10,468.16 : x
  2. Step 2: Convert to fraction form
    13,253.76/19,862 = 10,468.16/x
  3. Step 3: Cross multiply
    13,253.76x = 19,862 × 10,468.16
  4. Step 4: Simplify right side
    13,253.76x = 207,918,593.92
  5. Step 5: Solve for x
    x = 207,918,593.92/13,253.76
  6. Step 6: Final answer
    x = 15,687.52

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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.