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Finding the Fourth Proportional to 10,442.60, 15,639.60 and 10,233.80

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Solution

The fourth proportional to 10,442.60, 15,639.60 and 10,233.80 is: 15,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.60 : 15,639.60 = 10,233.80 : x
  2. Step 2: Convert to fraction form
    10,442.60/15,639.60 = 10,233.80/x
  3. Step 3: Cross multiply
    10,442.60x = 15,639.60 × 10,233.80
  4. Step 4: Simplify right side
    10,442.60x = 160,052,538.48
  5. Step 5: Solve for x
    x = 160,052,538.48/10,442.60
  6. Step 6: Final answer
    x = 15,326.89

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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.