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Finding the Fourth Proportional to 13,886.88, 20,831.70 and 5,120.66

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Solution

The fourth proportional to 13,886.88, 20,831.70 and 5,120.66 is: 7,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.88 : 20,831.70 = 5,120.66 : x
  2. Step 2: Convert to fraction form
    13,886.88/20,831.70 = 5,120.66/x
  3. Step 3: Cross multiply
    13,886.88x = 20,831.70 × 5,120.66
  4. Step 4: Simplify right side
    13,886.88x = 106,672,052.92
  5. Step 5: Solve for x
    x = 106,672,052.92/13,886.88
  6. Step 6: Final answer
    x = 7,681.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.