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Finding the Fourth Proportional to 16,278.80, 24,421.88 and 5,186.12

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Solution

The fourth proportional to 16,278.80, 24,421.88 and 5,186.12 is: 7,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.80 : 24,421.88 = 5,186.12 : x
  2. Step 2: Convert to fraction form
    16,278.80/24,421.88 = 5,186.12/x
  3. Step 3: Cross multiply
    16,278.80x = 24,421.88 × 5,186.12
  4. Step 4: Simplify right side
    16,278.80x = 126,654,652.27
  5. Step 5: Solve for x
    x = 126,654,652.27/16,278.80
  6. Step 6: Final answer
    x = 7,780.35

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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.