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Finding the Fourth Proportional to 15,722.38, 21,696.69 and 8,648.74

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Solution

The fourth proportional to 15,722.38, 21,696.69 and 8,648.74 is: 11,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.38 : 21,696.69 = 8,648.74 : x
  2. Step 2: Convert to fraction form
    15,722.38/21,696.69 = 8,648.74/x
  3. Step 3: Cross multiply
    15,722.38x = 21,696.69 × 8,648.74
  4. Step 4: Simplify right side
    15,722.38x = 187,649,030.67
  5. Step 5: Solve for x
    x = 187,649,030.67/15,722.38
  6. Step 6: Final answer
    x = 11,935.15

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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.