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Finding the Fourth Proportional to 22,852.86, 31,539.88 and 12,781.86

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Solution

The fourth proportional to 22,852.86, 31,539.88 and 12,781.86 is: 17,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.86 : 31,539.88 = 12,781.86 : x
  2. Step 2: Convert to fraction form
    22,852.86/31,539.88 = 12,781.86/x
  3. Step 3: Cross multiply
    22,852.86x = 31,539.88 × 12,781.86
  4. Step 4: Simplify right side
    22,852.86x = 403,138,330.58
  5. Step 5: Solve for x
    x = 403,138,330.58/22,852.86
  6. Step 6: Final answer
    x = 17,640.61

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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.