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Finding the Fourth Proportional to 15,138.12, 20,880.89 and 9,767.42

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Solution

The fourth proportional to 15,138.12, 20,880.89 and 9,767.42 is: 13,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.12 : 20,880.89 = 9,767.42 : x
  2. Step 2: Convert to fraction form
    15,138.12/20,880.89 = 9,767.42/x
  3. Step 3: Cross multiply
    15,138.12x = 20,880.89 × 9,767.42
  4. Step 4: Simplify right side
    15,138.12x = 203,952,384.29
  5. Step 5: Solve for x
    x = 203,952,384.29/15,138.12
  6. Step 6: Final answer
    x = 13,472.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.