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Finding the Fourth Proportional to 22,656, 31,267.20 and 12,721.92

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Solution

The fourth proportional to 22,656, 31,267.20 and 12,721.92 is: 17,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656 : 31,267.20 = 12,721.92 : x
  2. Step 2: Convert to fraction form
    22,656/31,267.20 = 12,721.92/x
  3. Step 3: Cross multiply
    22,656x = 31,267.20 × 12,721.92
  4. Step 4: Simplify right side
    22,656x = 397,778,817.02
  5. Step 5: Solve for x
    x = 397,778,817.02/22,656
  6. Step 6: Final answer
    x = 17,557.33

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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.