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Finding the Fourth Proportional to 16,502.87, 22,770 and 9,332.93

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Solution

The fourth proportional to 16,502.87, 22,770 and 9,332.93 is: 12,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.87 : 22,770 = 9,332.93 : x
  2. Step 2: Convert to fraction form
    16,502.87/22,770 = 9,332.93/x
  3. Step 3: Cross multiply
    16,502.87x = 22,770 × 9,332.93
  4. Step 4: Simplify right side
    16,502.87x = 212,510,873.03
  5. Step 5: Solve for x
    x = 212,510,873.03/16,502.87
  6. Step 6: Final answer
    x = 12,877.21

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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.