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Finding the Fourth Proportional to 24,214.16, 36,332.01 and 12,361.66

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Solution

The fourth proportional to 24,214.16, 36,332.01 and 12,361.66 is: 18,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.16 : 36,332.01 = 12,361.66 : x
  2. Step 2: Convert to fraction form
    24,214.16/36,332.01 = 12,361.66/x
  3. Step 3: Cross multiply
    24,214.16x = 36,332.01 × 12,361.66
  4. Step 4: Simplify right side
    24,214.16x = 449,123,863.91
  5. Step 5: Solve for x
    x = 449,123,863.91/24,214.16
  6. Step 6: Final answer
    x = 18,547.99

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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.