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Finding the Fourth Proportional to 14,126.47, 21,193.17 and 6,524.20

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Solution

The fourth proportional to 14,126.47, 21,193.17 and 6,524.20 is: 9,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.47 : 21,193.17 = 6,524.20 : x
  2. Step 2: Convert to fraction form
    14,126.47/21,193.17 = 6,524.20/x
  3. Step 3: Cross multiply
    14,126.47x = 21,193.17 × 6,524.20
  4. Step 4: Simplify right side
    14,126.47x = 138,268,481.74
  5. Step 5: Solve for x
    x = 138,268,481.74/14,126.47
  6. Step 6: Final answer
    x = 9,787.90

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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.