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Finding the Fourth Proportional to 23,201.17, 32,017.44 and 12,590.57

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Solution

The fourth proportional to 23,201.17, 32,017.44 and 12,590.57 is: 17,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.17 : 32,017.44 = 12,590.57 : x
  2. Step 2: Convert to fraction form
    23,201.17/32,017.44 = 12,590.57/x
  3. Step 3: Cross multiply
    23,201.17x = 32,017.44 × 12,590.57
  4. Step 4: Simplify right side
    23,201.17x = 403,117,946.80
  5. Step 5: Solve for x
    x = 403,117,946.80/23,201.17
  6. Step 6: Final answer
    x = 17,374.90

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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.