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Finding the Fourth Proportional to 25,785.12, 38,671.38 and 8,251.32

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Solution

The fourth proportional to 25,785.12, 38,671.38 and 8,251.32 is: 12,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.12 : 38,671.38 = 8,251.32 : x
  2. Step 2: Convert to fraction form
    25,785.12/38,671.38 = 8,251.32/x
  3. Step 3: Cross multiply
    25,785.12x = 38,671.38 × 8,251.32
  4. Step 4: Simplify right side
    25,785.12x = 319,089,931.22
  5. Step 5: Solve for x
    x = 319,089,931.22/25,785.12
  6. Step 6: Final answer
    x = 12,374.96

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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.