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Finding the Fourth Proportional to 13,717.13, 18,929.64 and 7,429.50

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Solution

The fourth proportional to 13,717.13, 18,929.64 and 7,429.50 is: 10,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.13 : 18,929.64 = 7,429.50 : x
  2. Step 2: Convert to fraction form
    13,717.13/18,929.64 = 7,429.50/x
  3. Step 3: Cross multiply
    13,717.13x = 18,929.64 × 7,429.50
  4. Step 4: Simplify right side
    13,717.13x = 140,637,760.38
  5. Step 5: Solve for x
    x = 140,637,760.38/13,717.13
  6. Step 6: Final answer
    x = 10,252.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.