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Finding the Fourth Proportional to 22,917.48, 31,583.16 and 18,375

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Solution

The fourth proportional to 22,917.48, 31,583.16 and 18,375 is: 25,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917.48 : 31,583.16 = 18,375 : x
  2. Step 2: Convert to fraction form
    22,917.48/31,583.16 = 18,375/x
  3. Step 3: Cross multiply
    22,917.48x = 31,583.16 × 18,375
  4. Step 4: Simplify right side
    22,917.48x = 580,340,565
  5. Step 5: Solve for x
    x = 580,340,565/22,917.48
  6. Step 6: Final answer
    x = 25,323.05

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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.