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Finding the Fourth Proportional to 16,540.47, 22,827.81 and 9,469.17

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Solution

The fourth proportional to 16,540.47, 22,827.81 and 9,469.17 is: 13,068.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.47 : 22,827.81 = 9,469.17 : x
  2. Step 2: Convert to fraction form
    16,540.47/22,827.81 = 9,469.17/x
  3. Step 3: Cross multiply
    16,540.47x = 22,827.81 × 9,469.17
  4. Step 4: Simplify right side
    16,540.47x = 216,160,413.62
  5. Step 5: Solve for x
    x = 216,160,413.62/16,540.47
  6. Step 6: Final answer
    x = 13,068.58

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1.5x scale

Why These Related Problems?

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