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Finding the Fourth Proportional to 25,538.88, 38,302.92 and 12,204.30

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Solution

The fourth proportional to 25,538.88, 38,302.92 and 12,204.30 is: 18,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538.88 : 38,302.92 = 12,204.30 : x
  2. Step 2: Convert to fraction form
    25,538.88/38,302.92 = 12,204.30/x
  3. Step 3: Cross multiply
    25,538.88x = 38,302.92 × 12,204.30
  4. Step 4: Simplify right side
    25,538.88x = 467,460,326.56
  5. Step 5: Solve for x
    x = 467,460,326.56/25,538.88
  6. Step 6: Final answer
    x = 18,303.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.