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Finding the Fourth Proportional to 31,009.17, 42,794.52 and 18,270.84

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Solution

The fourth proportional to 31,009.17, 42,794.52 and 18,270.84 is: 25,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.17 : 42,794.52 = 18,270.84 : x
  2. Step 2: Convert to fraction form
    31,009.17/42,794.52 = 18,270.84/x
  3. Step 3: Cross multiply
    31,009.17x = 42,794.52 × 18,270.84
  4. Step 4: Simplify right side
    31,009.17x = 781,892,034.24
  5. Step 5: Solve for x
    x = 781,892,034.24/31,009.17
  6. Step 6: Final answer
    x = 25,214.86

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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.