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Finding the Fourth Proportional to 12,565.86, 17,343.99 and 7,263.72

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Solution

The fourth proportional to 12,565.86, 17,343.99 and 7,263.72 is: 10,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.86 : 17,343.99 = 7,263.72 : x
  2. Step 2: Convert to fraction form
    12,565.86/17,343.99 = 7,263.72/x
  3. Step 3: Cross multiply
    12,565.86x = 17,343.99 × 7,263.72
  4. Step 4: Simplify right side
    12,565.86x = 125,981,887.04
  5. Step 5: Solve for x
    x = 125,981,887.04/12,565.86
  6. Step 6: Final answer
    x = 10,025.73

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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.