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Finding the Fourth Proportional to 12,861.02, 17,758.26 and 9,872.12

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Solution

The fourth proportional to 12,861.02, 17,758.26 and 9,872.12 is: 13,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.02 : 17,758.26 = 9,872.12 : x
  2. Step 2: Convert to fraction form
    12,861.02/17,758.26 = 9,872.12/x
  3. Step 3: Cross multiply
    12,861.02x = 17,758.26 × 9,872.12
  4. Step 4: Simplify right side
    12,861.02x = 175,311,673.71
  5. Step 5: Solve for x
    x = 175,311,673.71/12,861.02
  6. Step 6: Final answer
    x = 13,631.24

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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.