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Finding the Fourth Proportional to 20,006.25, 30,009.78 and 6,155.25

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Solution

The fourth proportional to 20,006.25, 30,009.78 and 6,155.25 is: 9,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.25 : 30,009.78 = 6,155.25 : x
  2. Step 2: Convert to fraction form
    20,006.25/30,009.78 = 6,155.25/x
  3. Step 3: Cross multiply
    20,006.25x = 30,009.78 × 6,155.25
  4. Step 4: Simplify right side
    20,006.25x = 184,717,698.35
  5. Step 5: Solve for x
    x = 184,717,698.35/20,006.25
  6. Step 6: Final answer
    x = 9,233.00

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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.