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Finding the Fourth Proportional to 22,714.83, 34,074.17 and 7,132.47

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Solution

The fourth proportional to 22,714.83, 34,074.17 and 7,132.47 is: 10,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.83 : 34,074.17 = 7,132.47 : x
  2. Step 2: Convert to fraction form
    22,714.83/34,074.17 = 7,132.47/x
  3. Step 3: Cross multiply
    22,714.83x = 34,074.17 × 7,132.47
  4. Step 4: Simplify right side
    22,714.83x = 243,032,959.64
  5. Step 5: Solve for x
    x = 243,032,959.64/22,714.83
  6. Step 6: Final answer
    x = 10,699.31

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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.