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Finding the Fourth Proportional to 12,706.97, 17,524.76 and 10,049.76

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Solution

The fourth proportional to 12,706.97, 17,524.76 and 10,049.76 is: 13,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.97 : 17,524.76 = 10,049.76 : x
  2. Step 2: Convert to fraction form
    12,706.97/17,524.76 = 10,049.76/x
  3. Step 3: Cross multiply
    12,706.97x = 17,524.76 × 10,049.76
  4. Step 4: Simplify right side
    12,706.97x = 176,119,581.81
  5. Step 5: Solve for x
    x = 176,119,581.81/12,706.97
  6. Step 6: Final answer
    x = 13,860.08

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