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Finding the Fourth Proportional to 23,083.29, 31,854.90 and 12,472.89

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Solution

The fourth proportional to 23,083.29, 31,854.90 and 12,472.89 is: 17,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.29 : 31,854.90 = 12,472.89 : x
  2. Step 2: Convert to fraction form
    23,083.29/31,854.90 = 12,472.89/x
  3. Step 3: Cross multiply
    23,083.29x = 31,854.90 × 12,472.89
  4. Step 4: Simplify right side
    23,083.29x = 397,322,663.66
  5. Step 5: Solve for x
    x = 397,322,663.66/23,083.29
  6. Step 6: Final answer
    x = 17,212.57

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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.