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Finding the Fourth Proportional to 15,714.52, 23,575.74 and 5,854.12

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Solution

The fourth proportional to 15,714.52, 23,575.74 and 5,854.12 is: 8,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.52 : 23,575.74 = 5,854.12 : x
  2. Step 2: Convert to fraction form
    15,714.52/23,575.74 = 5,854.12/x
  3. Step 3: Cross multiply
    15,714.52x = 23,575.74 × 5,854.12
  4. Step 4: Simplify right side
    15,714.52x = 138,015,211.05
  5. Step 5: Solve for x
    x = 138,015,211.05/15,714.52
  6. Step 6: Final answer
    x = 8,782.66

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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.