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Finding the Fourth Proportional to 16,531.50, 24,798.84 and 5,438.22

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Solution

The fourth proportional to 16,531.50, 24,798.84 and 5,438.22 is: 8,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.50 : 24,798.84 = 5,438.22 : x
  2. Step 2: Convert to fraction form
    16,531.50/24,798.84 = 5,438.22/x
  3. Step 3: Cross multiply
    16,531.50x = 24,798.84 × 5,438.22
  4. Step 4: Simplify right side
    16,531.50x = 134,861,547.66
  5. Step 5: Solve for x
    x = 134,861,547.66/16,531.50
  6. Step 6: Final answer
    x = 8,157.85

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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.