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Finding the Fourth Proportional to 20,187.17, 30,280.49 and 7,039.50

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Solution

The fourth proportional to 20,187.17, 30,280.49 and 7,039.50 is: 10,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.17 : 30,280.49 = 7,039.50 : x
  2. Step 2: Convert to fraction form
    20,187.17/30,280.49 = 7,039.50/x
  3. Step 3: Cross multiply
    20,187.17x = 30,280.49 × 7,039.50
  4. Step 4: Simplify right side
    20,187.17x = 213,159,500.56
  5. Step 5: Solve for x
    x = 213,159,500.56/20,187.17
  6. Step 6: Final answer
    x = 10,559.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.