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Finding the Fourth Proportional to 10,294.90, 15,442.23 and 2,503.78

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Solution

The fourth proportional to 10,294.90, 15,442.23 and 2,503.78 is: 3,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.90 : 15,442.23 = 2,503.78 : x
  2. Step 2: Convert to fraction form
    10,294.90/15,442.23 = 2,503.78/x
  3. Step 3: Cross multiply
    10,294.90x = 15,442.23 × 2,503.78
  4. Step 4: Simplify right side
    10,294.90x = 38,663,946.63
  5. Step 5: Solve for x
    x = 38,663,946.63/10,294.90
  6. Step 6: Final answer
    x = 3,755.64

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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.