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Finding the Fourth Proportional to 13,288.80, 19,909.20 and 7,737.60

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Solution

The fourth proportional to 13,288.80, 19,909.20 and 7,737.60 is: 11,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288.80 : 19,909.20 = 7,737.60 : x
  2. Step 2: Convert to fraction form
    13,288.80/19,909.20 = 7,737.60/x
  3. Step 3: Cross multiply
    13,288.80x = 19,909.20 × 7,737.60
  4. Step 4: Simplify right side
    13,288.80x = 154,049,425.92
  5. Step 5: Solve for x
    x = 154,049,425.92/13,288.80
  6. Step 6: Final answer
    x = 11,592.43

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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.