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Finding the Fourth Proportional to 15,143.48, 22,715.22 and 6,813.76

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Solution

The fourth proportional to 15,143.48, 22,715.22 and 6,813.76 is: 10,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.48 : 22,715.22 = 6,813.76 : x
  2. Step 2: Convert to fraction form
    15,143.48/22,715.22 = 6,813.76/x
  3. Step 3: Cross multiply
    15,143.48x = 22,715.22 × 6,813.76
  4. Step 4: Simplify right side
    15,143.48x = 154,776,057.43
  5. Step 5: Solve for x
    x = 154,776,057.43/15,143.48
  6. Step 6: Final answer
    x = 10,220.64

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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.