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Finding the Fourth Proportional to 25,758.64, 38,619.06 and 8,218.36

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Solution

The fourth proportional to 25,758.64, 38,619.06 and 8,218.36 is: 12,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.64 : 38,619.06 = 8,218.36 : x
  2. Step 2: Convert to fraction form
    25,758.64/38,619.06 = 8,218.36/x
  3. Step 3: Cross multiply
    25,758.64x = 38,619.06 × 8,218.36
  4. Step 4: Simplify right side
    25,758.64x = 317,385,337.94
  5. Step 5: Solve for x
    x = 317,385,337.94/25,758.64
  6. Step 6: Final answer
    x = 12,321.51

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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.