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Finding the Fourth Proportional to 22,934.31, 31,620.05 and 14,853.69

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Solution

The fourth proportional to 22,934.31, 31,620.05 and 14,853.69 is: 20,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.31 : 31,620.05 = 14,853.69 : x
  2. Step 2: Convert to fraction form
    22,934.31/31,620.05 = 14,853.69/x
  3. Step 3: Cross multiply
    22,934.31x = 31,620.05 × 14,853.69
  4. Step 4: Simplify right side
    22,934.31x = 469,674,346.22
  5. Step 5: Solve for x
    x = 469,674,346.22/22,934.31
  6. Step 6: Final answer
    x = 20,479.11

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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.