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Finding the Fourth Proportional to 13,715.20, 20,572.80 and 6,803.20

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Solution

The fourth proportional to 13,715.20, 20,572.80 and 6,803.20 is: 10,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.20 : 20,572.80 = 6,803.20 : x
  2. Step 2: Convert to fraction form
    13,715.20/20,572.80 = 6,803.20/x
  3. Step 3: Cross multiply
    13,715.20x = 20,572.80 × 6,803.20
  4. Step 4: Simplify right side
    13,715.20x = 139,960,872.96
  5. Step 5: Solve for x
    x = 139,960,872.96/13,715.20
  6. Step 6: Final answer
    x = 10,204.80

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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.