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Finding the Fourth Proportional to 13,690.41, 20,527.89 and 4,332.78

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Solution

The fourth proportional to 13,690.41, 20,527.89 and 4,332.78 is: 6,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.41 : 20,527.89 = 4,332.78 : x
  2. Step 2: Convert to fraction form
    13,690.41/20,527.89 = 4,332.78/x
  3. Step 3: Cross multiply
    13,690.41x = 20,527.89 × 4,332.78
  4. Step 4: Simplify right side
    13,690.41x = 88,942,831.23
  5. Step 5: Solve for x
    x = 88,942,831.23/13,690.41
  6. Step 6: Final answer
    x = 6,496.73

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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.