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Finding the Fourth Proportional to 15,530.40, 23,311.05 and 7,212.30

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Solution

The fourth proportional to 15,530.40, 23,311.05 and 7,212.30 is: 10,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.40 : 23,311.05 = 7,212.30 : x
  2. Step 2: Convert to fraction form
    15,530.40/23,311.05 = 7,212.30/x
  3. Step 3: Cross multiply
    15,530.40x = 23,311.05 × 7,212.30
  4. Step 4: Simplify right side
    15,530.40x = 168,126,285.92
  5. Step 5: Solve for x
    x = 168,126,285.92/15,530.40
  6. Step 6: Final answer
    x = 10,825.62

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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.