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Finding the Fourth Proportional to 15,164.20, 22,740.90 and 6,848.20

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Solution

The fourth proportional to 15,164.20, 22,740.90 and 6,848.20 is: 10,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.20 : 22,740.90 = 6,848.20 : x
  2. Step 2: Convert to fraction form
    15,164.20/22,740.90 = 6,848.20/x
  3. Step 3: Cross multiply
    15,164.20x = 22,740.90 × 6,848.20
  4. Step 4: Simplify right side
    15,164.20x = 155,734,231.38
  5. Step 5: Solve for x
    x = 155,734,231.38/15,164.20
  6. Step 6: Final answer
    x = 10,269.86

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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.