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Finding the Fourth Proportional to 16,102.57, 22,217 and 10,437.56

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Solution

The fourth proportional to 16,102.57, 22,217 and 10,437.56 is: 14,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.57 : 22,217 = 10,437.56 : x
  2. Step 2: Convert to fraction form
    16,102.57/22,217 = 10,437.56/x
  3. Step 3: Cross multiply
    16,102.57x = 22,217 × 10,437.56
  4. Step 4: Simplify right side
    16,102.57x = 231,891,270.52
  5. Step 5: Solve for x
    x = 231,891,270.52/16,102.57
  6. Step 6: Final answer
    x = 14,400.89

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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.