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Finding the Fourth Proportional to 12,814.43, 17,670.97 and 8,565.50

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Solution

The fourth proportional to 12,814.43, 17,670.97 and 8,565.50 is: 11,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.43 : 17,670.97 = 8,565.50 : x
  2. Step 2: Convert to fraction form
    12,814.43/17,670.97 = 8,565.50/x
  3. Step 3: Cross multiply
    12,814.43x = 17,670.97 × 8,565.50
  4. Step 4: Simplify right side
    12,814.43x = 151,360,693.54
  5. Step 5: Solve for x
    x = 151,360,693.54/12,814.43
  6. Step 6: Final answer
    x = 11,811.74

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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.