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Finding the Fourth Proportional to 12,294.14, 18,446.67 and 4,501.13

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Solution

The fourth proportional to 12,294.14, 18,446.67 and 4,501.13 is: 6,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.14 : 18,446.67 = 4,501.13 : x
  2. Step 2: Convert to fraction form
    12,294.14/18,446.67 = 4,501.13/x
  3. Step 3: Cross multiply
    12,294.14x = 18,446.67 × 4,501.13
  4. Step 4: Simplify right side
    12,294.14x = 83,030,767.50
  5. Step 5: Solve for x
    x = 83,030,767.50/12,294.14
  6. Step 6: Final answer
    x = 6,753.69

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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.