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Finding the Fourth Proportional to 20,541.76, 30,809.28 and 9,448

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Solution

The fourth proportional to 20,541.76, 30,809.28 and 9,448 is: 14,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541.76 : 30,809.28 = 9,448 : x
  2. Step 2: Convert to fraction form
    20,541.76/30,809.28 = 9,448/x
  3. Step 3: Cross multiply
    20,541.76x = 30,809.28 × 9,448
  4. Step 4: Simplify right side
    20,541.76x = 291,086,077.44
  5. Step 5: Solve for x
    x = 291,086,077.44/20,541.76
  6. Step 6: Final answer
    x = 14,170.45

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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.