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Finding the Fourth Proportional to 15,971.46, 22,042.80 and 9,259.20

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Solution

The fourth proportional to 15,971.46, 22,042.80 and 9,259.20 is: 12,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.46 : 22,042.80 = 9,259.20 : x
  2. Step 2: Convert to fraction form
    15,971.46/22,042.80 = 9,259.20/x
  3. Step 3: Cross multiply
    15,971.46x = 22,042.80 × 9,259.20
  4. Step 4: Simplify right side
    15,971.46x = 204,098,693.76
  5. Step 5: Solve for x
    x = 204,098,693.76/15,971.46
  6. Step 6: Final answer
    x = 12,778.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.