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Finding the Fourth Proportional to 10,442.09, 15,635.42 and 8,167.95

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Solution

The fourth proportional to 10,442.09, 15,635.42 and 8,167.95 is: 12,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.09 : 15,635.42 = 8,167.95 : x
  2. Step 2: Convert to fraction form
    10,442.09/15,635.42 = 8,167.95/x
  3. Step 3: Cross multiply
    10,442.09x = 15,635.42 × 8,167.95
  4. Step 4: Simplify right side
    10,442.09x = 127,709,287.95
  5. Step 5: Solve for x
    x = 127,709,287.95/10,442.09
  6. Step 6: Final answer
    x = 12,230.25

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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.