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Finding the Fourth Proportional to 15,385.50, 23,074.08 and 6,500.88

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Solution

The fourth proportional to 15,385.50, 23,074.08 and 6,500.88 is: 9,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,385.50 : 23,074.08 = 6,500.88 : x
  2. Step 2: Convert to fraction form
    15,385.50/23,074.08 = 6,500.88/x
  3. Step 3: Cross multiply
    15,385.50x = 23,074.08 × 6,500.88
  4. Step 4: Simplify right side
    15,385.50x = 150,001,825.19
  5. Step 5: Solve for x
    x = 150,001,825.19/15,385.50
  6. Step 6: Final answer
    x = 9,749.56

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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.