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Finding the Fourth Proportional to 24,195.42, 36,298.26 and 8,613

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Solution

The fourth proportional to 24,195.42, 36,298.26 and 8,613 is: 12,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,195.42 : 36,298.26 = 8,613 : x
  2. Step 2: Convert to fraction form
    24,195.42/36,298.26 = 8,613/x
  3. Step 3: Cross multiply
    24,195.42x = 36,298.26 × 8,613
  4. Step 4: Simplify right side
    24,195.42x = 312,636,913.38
  5. Step 5: Solve for x
    x = 312,636,913.38/24,195.42
  6. Step 6: Final answer
    x = 12,921.33

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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.