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Finding the Fourth Proportional to 15,738.57, 21,719.61 and 8,664.57

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Solution

The fourth proportional to 15,738.57, 21,719.61 and 8,664.57 is: 11,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.57 : 21,719.61 = 8,664.57 : x
  2. Step 2: Convert to fraction form
    15,738.57/21,719.61 = 8,664.57/x
  3. Step 3: Cross multiply
    15,738.57x = 21,719.61 × 8,664.57
  4. Step 4: Simplify right side
    15,738.57x = 188,191,081.22
  5. Step 5: Solve for x
    x = 188,191,081.22/15,738.57
  6. Step 6: Final answer
    x = 11,957.32

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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.