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Finding the Fourth Proportional to 10,014.53, 15,024.25 and 3,440.81

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Solution

The fourth proportional to 10,014.53, 15,024.25 and 3,440.81 is: 5,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.53 : 15,024.25 = 3,440.81 : x
  2. Step 2: Convert to fraction form
    10,014.53/15,024.25 = 3,440.81/x
  3. Step 3: Cross multiply
    10,014.53x = 15,024.25 × 3,440.81
  4. Step 4: Simplify right side
    10,014.53x = 51,695,505.92
  5. Step 5: Solve for x
    x = 51,695,505.92/10,014.53
  6. Step 6: Final answer
    x = 5,162.05

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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.