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Finding the Fourth Proportional to 13,400.58, 20,096.76 and 9,267.15

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Solution

The fourth proportional to 13,400.58, 20,096.76 and 9,267.15 is: 13,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.58 : 20,096.76 = 9,267.15 : x
  2. Step 2: Convert to fraction form
    13,400.58/20,096.76 = 9,267.15/x
  3. Step 3: Cross multiply
    13,400.58x = 20,096.76 × 9,267.15
  4. Step 4: Simplify right side
    13,400.58x = 186,239,689.43
  5. Step 5: Solve for x
    x = 186,239,689.43/13,400.58
  6. Step 6: Final answer
    x = 13,897.88

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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.