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Finding the Fourth Proportional to 16,284.88, 22,469.40 and 9,209.76

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Solution

The fourth proportional to 16,284.88, 22,469.40 and 9,209.76 is: 12,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.88 : 22,469.40 = 9,209.76 : x
  2. Step 2: Convert to fraction form
    16,284.88/22,469.40 = 9,209.76/x
  3. Step 3: Cross multiply
    16,284.88x = 22,469.40 × 9,209.76
  4. Step 4: Simplify right side
    16,284.88x = 206,937,781.34
  5. Step 5: Solve for x
    x = 206,937,781.34/16,284.88
  6. Step 6: Final answer
    x = 12,707.36

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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.