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Finding the Fourth Proportional to 13,389.71, 18,462.38 and 10,864.02

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Solution

The fourth proportional to 13,389.71, 18,462.38 and 10,864.02 is: 14,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,389.71 : 18,462.38 = 10,864.02 : x
  2. Step 2: Convert to fraction form
    13,389.71/18,462.38 = 10,864.02/x
  3. Step 3: Cross multiply
    13,389.71x = 18,462.38 × 10,864.02
  4. Step 4: Simplify right side
    13,389.71x = 200,575,741.59
  5. Step 5: Solve for x
    x = 200,575,741.59/13,389.71
  6. Step 6: Final answer
    x = 14,979.85

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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.