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Finding the Fourth Proportional to 10,452.30, 15,714.90 and 10,233.60

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Solution

The fourth proportional to 10,452.30, 15,714.90 and 10,233.60 is: 15,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.30 : 15,714.90 = 10,233.60 : x
  2. Step 2: Convert to fraction form
    10,452.30/15,714.90 = 10,233.60/x
  3. Step 3: Cross multiply
    10,452.30x = 15,714.90 × 10,233.60
  4. Step 4: Simplify right side
    10,452.30x = 160,820,000.64
  5. Step 5: Solve for x
    x = 160,820,000.64/10,452.30
  6. Step 6: Final answer
    x = 15,386.09

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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.