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Finding the Fourth Proportional to 10,333.45, 15,500.24 and 3,314.53

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Solution

The fourth proportional to 10,333.45, 15,500.24 and 3,314.53 is: 4,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.45 : 15,500.24 = 3,314.53 : x
  2. Step 2: Convert to fraction form
    10,333.45/15,500.24 = 3,314.53/x
  3. Step 3: Cross multiply
    10,333.45x = 15,500.24 × 3,314.53
  4. Step 4: Simplify right side
    10,333.45x = 51,376,010.49
  5. Step 5: Solve for x
    x = 51,376,010.49/10,333.45
  6. Step 6: Final answer
    x = 4,971.82

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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.