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Finding the Fourth Proportional to 15,278.68, 22,901.82 and 9,714.52

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Solution

The fourth proportional to 15,278.68, 22,901.82 and 9,714.52 is: 14,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278.68 : 22,901.82 = 9,714.52 : x
  2. Step 2: Convert to fraction form
    15,278.68/22,901.82 = 9,714.52/x
  3. Step 3: Cross multiply
    15,278.68x = 22,901.82 × 9,714.52
  4. Step 4: Simplify right side
    15,278.68x = 222,480,188.43
  5. Step 5: Solve for x
    x = 222,480,188.43/15,278.68
  6. Step 6: Final answer
    x = 14,561.48

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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.