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Finding the Fourth Proportional to 23,200.98, 32,017.20 and 12,590.39

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Solution

The fourth proportional to 23,200.98, 32,017.20 and 12,590.39 is: 17,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.98 : 32,017.20 = 12,590.39 : x
  2. Step 2: Convert to fraction form
    23,200.98/32,017.20 = 12,590.39/x
  3. Step 3: Cross multiply
    23,200.98x = 32,017.20 × 12,590.39
  4. Step 4: Simplify right side
    23,200.98x = 403,108,874.62
  5. Step 5: Solve for x
    x = 403,108,874.62/23,200.98
  6. Step 6: Final answer
    x = 17,374.65

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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.