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Finding the Fourth Proportional to 18,301, 25,255.38 and 9,917.50

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Solution

The fourth proportional to 18,301, 25,255.38 and 9,917.50 is: 13,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,301 : 25,255.38 = 9,917.50 : x
  2. Step 2: Convert to fraction form
    18,301/25,255.38 = 9,917.50/x
  3. Step 3: Cross multiply
    18,301x = 25,255.38 × 9,917.50
  4. Step 4: Simplify right side
    18,301x = 250,470,231.15
  5. Step 5: Solve for x
    x = 250,470,231.15/18,301
  6. Step 6: Final answer
    x = 13,686.15

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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.