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Finding the Fourth Proportional to 17,624.61, 24,321.99 and 9,666.90

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Solution

The fourth proportional to 17,624.61, 24,321.99 and 9,666.90 is: 13,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.61 : 24,321.99 = 9,666.90 : x
  2. Step 2: Convert to fraction form
    17,624.61/24,321.99 = 9,666.90/x
  3. Step 3: Cross multiply
    17,624.61x = 24,321.99 × 9,666.90
  4. Step 4: Simplify right side
    17,624.61x = 235,118,123.52
  5. Step 5: Solve for x
    x = 235,118,123.52/17,624.61
  6. Step 6: Final answer
    x = 13,340.33

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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.