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Finding the Fourth Proportional to 21,260.62, 31,892.55 and 6,470.80

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Solution

The fourth proportional to 21,260.62, 31,892.55 and 6,470.80 is: 9,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,260.62 : 31,892.55 = 6,470.80 : x
  2. Step 2: Convert to fraction form
    21,260.62/31,892.55 = 6,470.80/x
  3. Step 3: Cross multiply
    21,260.62x = 31,892.55 × 6,470.80
  4. Step 4: Simplify right side
    21,260.62x = 206,370,312.54
  5. Step 5: Solve for x
    x = 206,370,312.54/21,260.62
  6. Step 6: Final answer
    x = 9,706.69

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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.