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Finding the Fourth Proportional to 16,132.81, 22,253.63 and 10,154.10

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Solution

The fourth proportional to 16,132.81, 22,253.63 and 10,154.10 is: 14,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,132.81 : 22,253.63 = 10,154.10 : x
  2. Step 2: Convert to fraction form
    16,132.81/22,253.63 = 10,154.10/x
  3. Step 3: Cross multiply
    16,132.81x = 22,253.63 × 10,154.10
  4. Step 4: Simplify right side
    16,132.81x = 225,965,584.38
  5. Step 5: Solve for x
    x = 225,965,584.38/16,132.81
  6. Step 6: Final answer
    x = 14,006.59

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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.