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Finding the Fourth Proportional to 15,856.80, 23,785.16 and 12,891.72

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Solution

The fourth proportional to 15,856.80, 23,785.16 and 12,891.72 is: 19,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.80 : 23,785.16 = 12,891.72 : x
  2. Step 2: Convert to fraction form
    15,856.80/23,785.16 = 12,891.72/x
  3. Step 3: Cross multiply
    15,856.80x = 23,785.16 × 12,891.72
  4. Step 4: Simplify right side
    15,856.80x = 306,631,558.42
  5. Step 5: Solve for x
    x = 306,631,558.42/15,856.80
  6. Step 6: Final answer
    x = 19,337.54

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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.