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Finding the Fourth Proportional to 16,077, 24,115.82 and 4,390.53

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Solution

The fourth proportional to 16,077, 24,115.82 and 4,390.53 is: 6,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077 : 24,115.82 = 4,390.53 : x
  2. Step 2: Convert to fraction form
    16,077/24,115.82 = 4,390.53/x
  3. Step 3: Cross multiply
    16,077x = 24,115.82 × 4,390.53
  4. Step 4: Simplify right side
    16,077x = 105,881,209.23
  5. Step 5: Solve for x
    x = 105,881,209.23/16,077
  6. Step 6: Final answer
    x = 6,585.88

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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.