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Finding the Fourth Proportional to 16,041.16, 24,062.46 and 5,653

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Solution

The fourth proportional to 16,041.16, 24,062.46 and 5,653 is: 8,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.16 : 24,062.46 = 5,653 : x
  2. Step 2: Convert to fraction form
    16,041.16/24,062.46 = 5,653/x
  3. Step 3: Cross multiply
    16,041.16x = 24,062.46 × 5,653
  4. Step 4: Simplify right side
    16,041.16x = 136,025,086.38
  5. Step 5: Solve for x
    x = 136,025,086.38/16,041.16
  6. Step 6: Final answer
    x = 8,479.75

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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.