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Finding the Fourth Proportional to 23,081.15, 31,852.01 and 12,470.78

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Solution

The fourth proportional to 23,081.15, 31,852.01 and 12,470.78 is: 17,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,081.15 : 31,852.01 = 12,470.78 : x
  2. Step 2: Convert to fraction form
    23,081.15/31,852.01 = 12,470.78/x
  3. Step 3: Cross multiply
    23,081.15x = 31,852.01 × 12,470.78
  4. Step 4: Simplify right side
    23,081.15x = 397,219,426.54
  5. Step 5: Solve for x
    x = 397,219,426.54/23,081.15
  6. Step 6: Final answer
    x = 17,209.69

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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.