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Finding the Fourth Proportional to 22,730.80, 31,366.32 and 12,659.76

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Solution

The fourth proportional to 22,730.80, 31,366.32 and 12,659.76 is: 17,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730.80 : 31,366.32 = 12,659.76 : x
  2. Step 2: Convert to fraction form
    22,730.80/31,366.32 = 12,659.76/x
  3. Step 3: Cross multiply
    22,730.80x = 31,366.32 × 12,659.76
  4. Step 4: Simplify right side
    22,730.80x = 397,090,083.28
  5. Step 5: Solve for x
    x = 397,090,083.28/22,730.80
  6. Step 6: Final answer
    x = 17,469.25

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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.