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Finding the Fourth Proportional to 10,287.10, 15,442.80 and 10,214.20

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Solution

The fourth proportional to 10,287.10, 15,442.80 and 10,214.20 is: 15,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.10 : 15,442.80 = 10,214.20 : x
  2. Step 2: Convert to fraction form
    10,287.10/15,442.80 = 10,214.20/x
  3. Step 3: Cross multiply
    10,287.10x = 15,442.80 × 10,214.20
  4. Step 4: Simplify right side
    10,287.10x = 157,735,847.76
  5. Step 5: Solve for x
    x = 157,735,847.76/10,287.10
  6. Step 6: Final answer
    x = 15,333.36

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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.