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Finding the Fourth Proportional to 14,470.73, 21,691.19 and 6,578.74

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Solution

The fourth proportional to 14,470.73, 21,691.19 and 6,578.74 is: 9,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.73 : 21,691.19 = 6,578.74 : x
  2. Step 2: Convert to fraction form
    14,470.73/21,691.19 = 6,578.74/x
  3. Step 3: Cross multiply
    14,470.73x = 21,691.19 × 6,578.74
  4. Step 4: Simplify right side
    14,470.73x = 142,700,699.30
  5. Step 5: Solve for x
    x = 142,700,699.30/14,470.73
  6. Step 6: Final answer
    x = 9,861.33

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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.