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Finding the Fourth Proportional to 14,593.84, 20,139.59 and 8,306.21

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Solution

The fourth proportional to 14,593.84, 20,139.59 and 8,306.21 is: 11,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.84 : 20,139.59 = 8,306.21 : x
  2. Step 2: Convert to fraction form
    14,593.84/20,139.59 = 8,306.21/x
  3. Step 3: Cross multiply
    14,593.84x = 20,139.59 × 8,306.21
  4. Step 4: Simplify right side
    14,593.84x = 167,283,663.85
  5. Step 5: Solve for x
    x = 167,283,663.85/14,593.84
  6. Step 6: Final answer
    x = 11,462.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.