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Finding the Fourth Proportional to 16,280, 22,469.76 and 9,206.72

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Solution

The fourth proportional to 16,280, 22,469.76 and 9,206.72 is: 12,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280 : 22,469.76 = 9,206.72 : x
  2. Step 2: Convert to fraction form
    16,280/22,469.76 = 9,206.72/x
  3. Step 3: Cross multiply
    16,280x = 22,469.76 × 9,206.72
  4. Step 4: Simplify right side
    16,280x = 206,872,788.79
  5. Step 5: Solve for x
    x = 206,872,788.79/16,280
  6. Step 6: Final answer
    x = 12,707.17

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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.