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Finding the Fourth Proportional to 14,793.60, 22,199.20 and 7,868.16

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Solution

The fourth proportional to 14,793.60, 22,199.20 and 7,868.16 is: 11,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.60 : 22,199.20 = 7,868.16 : x
  2. Step 2: Convert to fraction form
    14,793.60/22,199.20 = 7,868.16/x
  3. Step 3: Cross multiply
    14,793.60x = 22,199.20 × 7,868.16
  4. Step 4: Simplify right side
    14,793.60x = 174,666,857.47
  5. Step 5: Solve for x
    x = 174,666,857.47/14,793.60
  6. Step 6: Final answer
    x = 11,806.92

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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.