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Finding the Fourth Proportional to 22,930.25, 31,646.99 and 12,723.57

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Solution

The fourth proportional to 22,930.25, 31,646.99 and 12,723.57 is: 17,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.25 : 31,646.99 = 12,723.57 : x
  2. Step 2: Convert to fraction form
    22,930.25/31,646.99 = 12,723.57/x
  3. Step 3: Cross multiply
    22,930.25x = 31,646.99 × 12,723.57
  4. Step 4: Simplify right side
    22,930.25x = 402,662,628.94
  5. Step 5: Solve for x
    x = 402,662,628.94/22,930.25
  6. Step 6: Final answer
    x = 17,560.33

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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.