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Finding the Fourth Proportional to 23,200.78, 32,017.10 and 12,590.42

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Solution

The fourth proportional to 23,200.78, 32,017.10 and 12,590.42 is: 17,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.78 : 32,017.10 = 12,590.42 : x
  2. Step 2: Convert to fraction form
    23,200.78/32,017.10 = 12,590.42/x
  3. Step 3: Cross multiply
    23,200.78x = 32,017.10 × 12,590.42
  4. Step 4: Simplify right side
    23,200.78x = 403,108,583.97
  5. Step 5: Solve for x
    x = 403,108,583.97/23,200.78
  6. Step 6: Final answer
    x = 17,374.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.