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Finding the Fourth Proportional to 16,561.92, 24,854.40 and 10,704

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Solution

The fourth proportional to 16,561.92, 24,854.40 and 10,704 is: 16,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.92 : 24,854.40 = 10,704 : x
  2. Step 2: Convert to fraction form
    16,561.92/24,854.40 = 10,704/x
  3. Step 3: Cross multiply
    16,561.92x = 24,854.40 × 10,704
  4. Step 4: Simplify right side
    16,561.92x = 266,041,497.60
  5. Step 5: Solve for x
    x = 266,041,497.60/16,561.92
  6. Step 6: Final answer
    x = 16,063.45

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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.