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Finding the Fourth Proportional to 22,609.25, 31,200.84 and 12,538.62

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Solution

The fourth proportional to 22,609.25, 31,200.84 and 12,538.62 is: 17,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.25 : 31,200.84 = 12,538.62 : x
  2. Step 2: Convert to fraction form
    22,609.25/31,200.84 = 12,538.62/x
  3. Step 3: Cross multiply
    22,609.25x = 31,200.84 × 12,538.62
  4. Step 4: Simplify right side
    22,609.25x = 391,215,523.46
  5. Step 5: Solve for x
    x = 391,215,523.46/22,609.25
  6. Step 6: Final answer
    x = 17,303.34

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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.