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Finding the Fourth Proportional to 15,772.80, 23,643.24 and 10,229.67

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Solution

The fourth proportional to 15,772.80, 23,643.24 and 10,229.67 is: 15,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.80 : 23,643.24 = 10,229.67 : x
  2. Step 2: Convert to fraction form
    15,772.80/23,643.24 = 10,229.67/x
  3. Step 3: Cross multiply
    15,772.80x = 23,643.24 × 10,229.67
  4. Step 4: Simplify right side
    15,772.80x = 241,862,424.71
  5. Step 5: Solve for x
    x = 241,862,424.71/15,772.80
  6. Step 6: Final answer
    x = 15,334.15

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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.