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Finding the Fourth Proportional to 15,686.97, 21,648.09 and 8,972.67

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Solution

The fourth proportional to 15,686.97, 21,648.09 and 8,972.67 is: 12,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.97 : 21,648.09 = 8,972.67 : x
  2. Step 2: Convert to fraction form
    15,686.97/21,648.09 = 8,972.67/x
  3. Step 3: Cross multiply
    15,686.97x = 21,648.09 × 8,972.67
  4. Step 4: Simplify right side
    15,686.97x = 194,241,167.70
  5. Step 5: Solve for x
    x = 194,241,167.70/15,686.97
  6. Step 6: Final answer
    x = 12,382.33

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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.