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Finding the Fourth Proportional to 14,489.34, 21,726.72 and 7,082.70

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Solution

The fourth proportional to 14,489.34, 21,726.72 and 7,082.70 is: 10,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.34 : 21,726.72 = 7,082.70 : x
  2. Step 2: Convert to fraction form
    14,489.34/21,726.72 = 7,082.70/x
  3. Step 3: Cross multiply
    14,489.34x = 21,726.72 × 7,082.70
  4. Step 4: Simplify right side
    14,489.34x = 153,883,839.74
  5. Step 5: Solve for x
    x = 153,883,839.74/14,489.34
  6. Step 6: Final answer
    x = 10,620.49

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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.