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Finding the Fourth Proportional to 23,476.38, 32,397.69 and 12,865.79

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Solution

The fourth proportional to 23,476.38, 32,397.69 and 12,865.79 is: 17,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476.38 : 32,397.69 = 12,865.79 : x
  2. Step 2: Convert to fraction form
    23,476.38/32,397.69 = 12,865.79/x
  3. Step 3: Cross multiply
    23,476.38x = 32,397.69 × 12,865.79
  4. Step 4: Simplify right side
    23,476.38x = 416,821,714.04
  5. Step 5: Solve for x
    x = 416,821,714.04/23,476.38
  6. Step 6: Final answer
    x = 17,754.94

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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.