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Finding the Fourth Proportional to 16,078.56, 24,115.12 and 4,389.08

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Solution

The fourth proportional to 16,078.56, 24,115.12 and 4,389.08 is: 6,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.56 : 24,115.12 = 4,389.08 : x
  2. Step 2: Convert to fraction form
    16,078.56/24,115.12 = 4,389.08/x
  3. Step 3: Cross multiply
    16,078.56x = 24,115.12 × 4,389.08
  4. Step 4: Simplify right side
    16,078.56x = 105,843,190.89
  5. Step 5: Solve for x
    x = 105,843,190.89/16,078.56
  6. Step 6: Final answer
    x = 6,582.88

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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.