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Finding the Fourth Proportional to 16,294.80, 24,445.24 and 7,523.92

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Solution

The fourth proportional to 16,294.80, 24,445.24 and 7,523.92 is: 11,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.80 : 24,445.24 = 7,523.92 : x
  2. Step 2: Convert to fraction form
    16,294.80/24,445.24 = 7,523.92/x
  3. Step 3: Cross multiply
    16,294.80x = 24,445.24 × 7,523.92
  4. Step 4: Simplify right side
    16,294.80x = 183,924,030.14
  5. Step 5: Solve for x
    x = 183,924,030.14/16,294.80
  6. Step 6: Final answer
    x = 11,287.28

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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.