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Finding the Fourth Proportional to 12,002.70, 17,972.55 and 8,473.65

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Solution

The fourth proportional to 12,002.70, 17,972.55 and 8,473.65 is: 12,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.70 : 17,972.55 = 8,473.65 : x
  2. Step 2: Convert to fraction form
    12,002.70/17,972.55 = 8,473.65/x
  3. Step 3: Cross multiply
    12,002.70x = 17,972.55 × 8,473.65
  4. Step 4: Simplify right side
    12,002.70x = 152,293,098.31
  5. Step 5: Solve for x
    x = 152,293,098.31/12,002.70
  6. Step 6: Final answer
    x = 12,688.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.