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Finding the Fourth Proportional to 25,504.65, 38,259.89 and 6,785.46

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Solution

The fourth proportional to 25,504.65, 38,259.89 and 6,785.46 is: 10,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504.65 : 38,259.89 = 6,785.46 : x
  2. Step 2: Convert to fraction form
    25,504.65/38,259.89 = 6,785.46/x
  3. Step 3: Cross multiply
    25,504.65x = 38,259.89 × 6,785.46
  4. Step 4: Simplify right side
    25,504.65x = 259,610,919.27
  5. Step 5: Solve for x
    x = 259,610,919.27/25,504.65
  6. Step 6: Final answer
    x = 10,178.96

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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.