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Finding the Fourth Proportional to 25,614.18, 38,421.45 and 8,085.42

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Solution

The fourth proportional to 25,614.18, 38,421.45 and 8,085.42 is: 12,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.18 : 38,421.45 = 8,085.42 : x
  2. Step 2: Convert to fraction form
    25,614.18/38,421.45 = 8,085.42/x
  3. Step 3: Cross multiply
    25,614.18x = 38,421.45 × 8,085.42
  4. Step 4: Simplify right side
    25,614.18x = 310,653,560.26
  5. Step 5: Solve for x
    x = 310,653,560.26/25,614.18
  6. Step 6: Final answer
    x = 12,128.19

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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.