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Finding the Fourth Proportional to 24,513.36, 36,774.81 and 7,872.12

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Solution

The fourth proportional to 24,513.36, 36,774.81 and 7,872.12 is: 11,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.36 : 36,774.81 = 7,872.12 : x
  2. Step 2: Convert to fraction form
    24,513.36/36,774.81 = 7,872.12/x
  3. Step 3: Cross multiply
    24,513.36x = 36,774.81 × 7,872.12
  4. Step 4: Simplify right side
    24,513.36x = 289,495,717.30
  5. Step 5: Solve for x
    x = 289,495,717.30/24,513.36
  6. Step 6: Final answer
    x = 11,809.71

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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.