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Finding the Fourth Proportional to 23,081.25, 31,852.04 and 12,470.86

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Solution

The fourth proportional to 23,081.25, 31,852.04 and 12,470.86 is: 17,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,081.25 : 31,852.04 = 12,470.86 : x
  2. Step 2: Convert to fraction form
    23,081.25/31,852.04 = 12,470.86/x
  3. Step 3: Cross multiply
    23,081.25x = 31,852.04 × 12,470.86
  4. Step 4: Simplify right side
    23,081.25x = 397,222,309.02
  5. Step 5: Solve for x
    x = 397,222,309.02/23,081.25
  6. Step 6: Final answer
    x = 17,209.74

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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.