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Finding the Fourth Proportional to 10,567.80, 15,851.70 and 10,414.20

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Solution

The fourth proportional to 10,567.80, 15,851.70 and 10,414.20 is: 15,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.80 : 15,851.70 = 10,414.20 : x
  2. Step 2: Convert to fraction form
    10,567.80/15,851.70 = 10,414.20/x
  3. Step 3: Cross multiply
    10,567.80x = 15,851.70 × 10,414.20
  4. Step 4: Simplify right side
    10,567.80x = 165,082,774.14
  5. Step 5: Solve for x
    x = 165,082,774.14/10,567.80
  6. Step 6: Final answer
    x = 15,621.30

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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.