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Finding the Fourth Proportional to 23,197.98, 32,013.07 and 12,587.39

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Solution

The fourth proportional to 23,197.98, 32,013.07 and 12,587.39 is: 17,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.98 : 32,013.07 = 12,587.39 : x
  2. Step 2: Convert to fraction form
    23,197.98/32,013.07 = 12,587.39/x
  3. Step 3: Cross multiply
    23,197.98x = 32,013.07 × 12,587.39
  4. Step 4: Simplify right side
    23,197.98x = 402,960,805.65
  5. Step 5: Solve for x
    x = 402,960,805.65/23,197.98
  6. Step 6: Final answer
    x = 17,370.51

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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.