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Finding the Fourth Proportional to 14,523.80, 21,780.17 and 6,207.67

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Solution

The fourth proportional to 14,523.80, 21,780.17 and 6,207.67 is: 9,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.80 : 21,780.17 = 6,207.67 : x
  2. Step 2: Convert to fraction form
    14,523.80/21,780.17 = 6,207.67/x
  3. Step 3: Cross multiply
    14,523.80x = 21,780.17 × 6,207.67
  4. Step 4: Simplify right side
    14,523.80x = 135,203,967.96
  5. Step 5: Solve for x
    x = 135,203,967.96/14,523.80
  6. Step 6: Final answer
    x = 9,309.13

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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.