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Finding the Fourth Proportional to 16,119.30, 24,178.85 and 8,770.47

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Solution

The fourth proportional to 16,119.30, 24,178.85 and 8,770.47 is: 13,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119.30 : 24,178.85 = 8,770.47 : x
  2. Step 2: Convert to fraction form
    16,119.30/24,178.85 = 8,770.47/x
  3. Step 3: Cross multiply
    16,119.30x = 24,178.85 × 8,770.47
  4. Step 4: Simplify right side
    16,119.30x = 212,059,878.56
  5. Step 5: Solve for x
    x = 212,059,878.56/16,119.30
  6. Step 6: Final answer
    x = 13,155.65

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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.