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Finding the Fourth Proportional to 15,346.32, 23,041.03 and 7,855.22

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Solution

The fourth proportional to 15,346.32, 23,041.03 and 7,855.22 is: 11,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,346.32 : 23,041.03 = 7,855.22 : x
  2. Step 2: Convert to fraction form
    15,346.32/23,041.03 = 7,855.22/x
  3. Step 3: Cross multiply
    15,346.32x = 23,041.03 × 7,855.22
  4. Step 4: Simplify right side
    15,346.32x = 180,992,359.68
  5. Step 5: Solve for x
    x = 180,992,359.68/15,346.32
  6. Step 6: Final answer
    x = 11,793.86

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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.