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Finding the Fourth Proportional to 15,722.88, 21,696.72 and 8,648.16

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Solution

The fourth proportional to 15,722.88, 21,696.72 and 8,648.16 is: 11,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.88 : 21,696.72 = 8,648.16 : x
  2. Step 2: Convert to fraction form
    15,722.88/21,696.72 = 8,648.16/x
  3. Step 3: Cross multiply
    15,722.88x = 21,696.72 × 8,648.16
  4. Step 4: Simplify right side
    15,722.88x = 187,636,706.04
  5. Step 5: Solve for x
    x = 187,636,706.04/15,722.88
  6. Step 6: Final answer
    x = 11,933.99

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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.