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Finding the Fourth Proportional to 23,042.86, 31,799.73 and 12,971.66

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Solution

The fourth proportional to 23,042.86, 31,799.73 and 12,971.66 is: 17,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.86 : 31,799.73 = 12,971.66 : x
  2. Step 2: Convert to fraction form
    23,042.86/31,799.73 = 12,971.66/x
  3. Step 3: Cross multiply
    23,042.86x = 31,799.73 × 12,971.66
  4. Step 4: Simplify right side
    23,042.86x = 412,495,285.65
  5. Step 5: Solve for x
    x = 412,495,285.65/23,042.86
  6. Step 6: Final answer
    x = 17,901.22

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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.