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Finding the Fourth Proportional to 13,199.60, 19,729.18 and 9,311.60

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Solution

The fourth proportional to 13,199.60, 19,729.18 and 9,311.60 is: 13,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.60 : 19,729.18 = 9,311.60 : x
  2. Step 2: Convert to fraction form
    13,199.60/19,729.18 = 9,311.60/x
  3. Step 3: Cross multiply
    13,199.60x = 19,729.18 × 9,311.60
  4. Step 4: Simplify right side
    13,199.60x = 183,710,232.49
  5. Step 5: Solve for x
    x = 183,710,232.49/13,199.60
  6. Step 6: Final answer
    x = 13,917.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.