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Finding the Fourth Proportional to 25,613.66, 38,394.18 and 9,814.42

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Solution

The fourth proportional to 25,613.66, 38,394.18 and 9,814.42 is: 14,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.66 : 38,394.18 = 9,814.42 : x
  2. Step 2: Convert to fraction form
    25,613.66/38,394.18 = 9,814.42/x
  3. Step 3: Cross multiply
    25,613.66x = 38,394.18 × 9,814.42
  4. Step 4: Simplify right side
    25,613.66x = 376,816,608.08
  5. Step 5: Solve for x
    x = 376,816,608.08/25,613.66
  6. Step 6: Final answer
    x = 14,711.55

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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.