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Finding the Fourth Proportional to 20,549.34, 30,834.54 and 8,711.19

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Solution

The fourth proportional to 20,549.34, 30,834.54 and 8,711.19 is: 13,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.34 : 30,834.54 = 8,711.19 : x
  2. Step 2: Convert to fraction form
    20,549.34/30,834.54 = 8,711.19/x
  3. Step 3: Cross multiply
    20,549.34x = 30,834.54 × 8,711.19
  4. Step 4: Simplify right side
    20,549.34x = 268,605,536.50
  5. Step 5: Solve for x
    x = 268,605,536.50/20,549.34
  6. Step 6: Final answer
    x = 13,071.25

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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.