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Finding the Fourth Proportional to 16,515.50, 22,784.90 and 9,438.12

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Solution

The fourth proportional to 16,515.50, 22,784.90 and 9,438.12 is: 13,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.50 : 22,784.90 = 9,438.12 : x
  2. Step 2: Convert to fraction form
    16,515.50/22,784.90 = 9,438.12/x
  3. Step 3: Cross multiply
    16,515.50x = 22,784.90 × 9,438.12
  4. Step 4: Simplify right side
    16,515.50x = 215,046,573.20
  5. Step 5: Solve for x
    x = 215,046,573.20/16,515.50
  6. Step 6: Final answer
    x = 13,020.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.