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Finding the Fourth Proportional to 10,520.96, 15,695.21 and 10,234.94

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Solution

The fourth proportional to 10,520.96, 15,695.21 and 10,234.94 is: 15,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.96 : 15,695.21 = 10,234.94 : x
  2. Step 2: Convert to fraction form
    10,520.96/15,695.21 = 10,234.94/x
  3. Step 3: Cross multiply
    10,520.96x = 15,695.21 × 10,234.94
  4. Step 4: Simplify right side
    10,520.96x = 160,639,479.75
  5. Step 5: Solve for x
    x = 160,639,479.75/10,520.96
  6. Step 6: Final answer
    x = 15,268.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.