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Finding the Fourth Proportional to 16,732.42, 25,090.56 and 9,714.20

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Solution

The fourth proportional to 16,732.42, 25,090.56 and 9,714.20 is: 14,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.42 : 25,090.56 = 9,714.20 : x
  2. Step 2: Convert to fraction form
    16,732.42/25,090.56 = 9,714.20/x
  3. Step 3: Cross multiply
    16,732.42x = 25,090.56 × 9,714.20
  4. Step 4: Simplify right side
    16,732.42x = 243,734,763.22
  5. Step 5: Solve for x
    x = 243,734,763.22/16,732.42
  6. Step 6: Final answer
    x = 14,566.61

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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.