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Finding the Fourth Proportional to 25,863.46, 38,798.82 and 9,218.56

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Solution

The fourth proportional to 25,863.46, 38,798.82 and 9,218.56 is: 13,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,863.46 : 38,798.82 = 9,218.56 : x
  2. Step 2: Convert to fraction form
    25,863.46/38,798.82 = 9,218.56/x
  3. Step 3: Cross multiply
    25,863.46x = 38,798.82 × 9,218.56
  4. Step 4: Simplify right side
    25,863.46x = 357,669,250.10
  5. Step 5: Solve for x
    x = 357,669,250.10/25,863.46
  6. Step 6: Final answer
    x = 13,829.13

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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.