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Finding the Fourth Proportional to 16,115.64, 24,176.88 and 5,022.06

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Solution

The fourth proportional to 16,115.64, 24,176.88 and 5,022.06 is: 7,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,115.64 : 24,176.88 = 5,022.06 : x
  2. Step 2: Convert to fraction form
    16,115.64/24,176.88 = 5,022.06/x
  3. Step 3: Cross multiply
    16,115.64x = 24,176.88 × 5,022.06
  4. Step 4: Simplify right side
    16,115.64x = 121,417,741.97
  5. Step 5: Solve for x
    x = 121,417,741.97/16,115.64
  6. Step 6: Final answer
    x = 7,534.16

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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.