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Finding the Fourth Proportional to 23,199.90, 32,015.70 and 12,589.26

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Solution

The fourth proportional to 23,199.90, 32,015.70 and 12,589.26 is: 17,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199.90 : 32,015.70 = 12,589.26 : x
  2. Step 2: Convert to fraction form
    23,199.90/32,015.70 = 12,589.26/x
  3. Step 3: Cross multiply
    23,199.90x = 32,015.70 × 12,589.26
  4. Step 4: Simplify right side
    23,199.90x = 403,053,971.38
  5. Step 5: Solve for x
    x = 403,053,971.38/23,199.90
  6. Step 6: Final answer
    x = 17,373.09

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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.