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Finding the Fourth Proportional to 25,852.01, 38,778.17 and 9,212.69

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Solution

The fourth proportional to 25,852.01, 38,778.17 and 9,212.69 is: 13,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.01 : 38,778.17 = 9,212.69 : x
  2. Step 2: Convert to fraction form
    25,852.01/38,778.17 = 9,212.69/x
  3. Step 3: Cross multiply
    25,852.01x = 38,778.17 × 9,212.69
  4. Step 4: Simplify right side
    25,852.01x = 357,251,019.02
  5. Step 5: Solve for x
    x = 357,251,019.02/25,852.01
  6. Step 6: Final answer
    x = 13,819.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.