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Finding the Fourth Proportional to 17,306.76, 23,885.10 and 10,596.82

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Solution

The fourth proportional to 17,306.76, 23,885.10 and 10,596.82 is: 14,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,306.76 : 23,885.10 = 10,596.82 : x
  2. Step 2: Convert to fraction form
    17,306.76/23,885.10 = 10,596.82/x
  3. Step 3: Cross multiply
    17,306.76x = 23,885.10 × 10,596.82
  4. Step 4: Simplify right side
    17,306.76x = 253,106,105.38
  5. Step 5: Solve for x
    x = 253,106,105.38/17,306.76
  6. Step 6: Final answer
    x = 14,624.70

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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.