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Finding the Fourth Proportional to 23,642.79, 32,640.38 and 15,695.88

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Solution

The fourth proportional to 23,642.79, 32,640.38 and 15,695.88 is: 21,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.79 : 32,640.38 = 15,695.88 : x
  2. Step 2: Convert to fraction form
    23,642.79/32,640.38 = 15,695.88/x
  3. Step 3: Cross multiply
    23,642.79x = 32,640.38 × 15,695.88
  4. Step 4: Simplify right side
    23,642.79x = 512,319,409.16
  5. Step 5: Solve for x
    x = 512,319,409.16/23,642.79
  6. Step 6: Final answer
    x = 21,669.16

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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.