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Finding the Fourth Proportional to 16,289.88, 22,478.14 and 9,120.20

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Solution

The fourth proportional to 16,289.88, 22,478.14 and 9,120.20 is: 12,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.88 : 22,478.14 = 9,120.20 : x
  2. Step 2: Convert to fraction form
    16,289.88/22,478.14 = 9,120.20/x
  3. Step 3: Cross multiply
    16,289.88x = 22,478.14 × 9,120.20
  4. Step 4: Simplify right side
    16,289.88x = 205,005,132.43
  5. Step 5: Solve for x
    x = 205,005,132.43/16,289.88
  6. Step 6: Final answer
    x = 12,584.82

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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.