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Finding the Fourth Proportional to 16,597.24, 24,881.28 and 7,842.76

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Solution

The fourth proportional to 16,597.24, 24,881.28 and 7,842.76 is: 11,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597.24 : 24,881.28 = 7,842.76 : x
  2. Step 2: Convert to fraction form
    16,597.24/24,881.28 = 7,842.76/x
  3. Step 3: Cross multiply
    16,597.24x = 24,881.28 × 7,842.76
  4. Step 4: Simplify right side
    16,597.24x = 195,137,815.92
  5. Step 5: Solve for x
    x = 195,137,815.92/16,597.24
  6. Step 6: Final answer
    x = 11,757.25

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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.