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Finding the Fourth Proportional to 16,526.18, 24,793.54 and 7,164.02

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Solution

The fourth proportional to 16,526.18, 24,793.54 and 7,164.02 is: 10,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.18 : 24,793.54 = 7,164.02 : x
  2. Step 2: Convert to fraction form
    16,526.18/24,793.54 = 7,164.02/x
  3. Step 3: Cross multiply
    16,526.18x = 24,793.54 × 7,164.02
  4. Step 4: Simplify right side
    16,526.18x = 177,621,380.61
  5. Step 5: Solve for x
    x = 177,621,380.61/16,526.18
  6. Step 6: Final answer
    x = 10,747.88

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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.