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Finding the Fourth Proportional to 23,642.29, 32,639.69 and 15,695.38

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Solution

The fourth proportional to 23,642.29, 32,639.69 and 15,695.38 is: 21,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.29 : 32,639.69 = 15,695.38 : x
  2. Step 2: Convert to fraction form
    23,642.29/32,639.69 = 15,695.38/x
  3. Step 3: Cross multiply
    23,642.29x = 32,639.69 × 15,695.38
  4. Step 4: Simplify right side
    23,642.29x = 512,292,259.16
  5. Step 5: Solve for x
    x = 512,292,259.16/23,642.29
  6. Step 6: Final answer
    x = 21,668.47

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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.