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Finding the Fourth Proportional to 13,713.94, 20,565.10 and 5,392.64

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Solution

The fourth proportional to 13,713.94, 20,565.10 and 5,392.64 is: 8,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.94 : 20,565.10 = 5,392.64 : x
  2. Step 2: Convert to fraction form
    13,713.94/20,565.10 = 5,392.64/x
  3. Step 3: Cross multiply
    13,713.94x = 20,565.10 × 5,392.64
  4. Step 4: Simplify right side
    13,713.94x = 110,900,180.86
  5. Step 5: Solve for x
    x = 110,900,180.86/13,713.94
  6. Step 6: Final answer
    x = 8,086.68

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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.