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Finding the Fourth Proportional to 14,887.50, 22,338.07 and 6,456.59

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Solution

The fourth proportional to 14,887.50, 22,338.07 and 6,456.59 is: 9,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,887.50 : 22,338.07 = 6,456.59 : x
  2. Step 2: Convert to fraction form
    14,887.50/22,338.07 = 6,456.59/x
  3. Step 3: Cross multiply
    14,887.50x = 22,338.07 × 6,456.59
  4. Step 4: Simplify right side
    14,887.50x = 144,227,631.55
  5. Step 5: Solve for x
    x = 144,227,631.55/14,887.50
  6. Step 6: Final answer
    x = 9,687.83

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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.