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Finding the Fourth Proportional to 18,375, 25,357.71 and 9,991.50

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Solution

The fourth proportional to 18,375, 25,357.71 and 9,991.50 is: 13,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,375 : 25,357.71 = 9,991.50 : x
  2. Step 2: Convert to fraction form
    18,375/25,357.71 = 9,991.50/x
  3. Step 3: Cross multiply
    18,375x = 25,357.71 × 9,991.50
  4. Step 4: Simplify right side
    18,375x = 253,361,559.47
  5. Step 5: Solve for x
    x = 253,361,559.47/18,375
  6. Step 6: Final answer
    x = 13,788.38

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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.