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Finding the Fourth Proportional to 25,807.32, 38,727.42 and 11,768.74

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Solution

The fourth proportional to 25,807.32, 38,727.42 and 11,768.74 is: 17,660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.32 : 38,727.42 = 11,768.74 : x
  2. Step 2: Convert to fraction form
    25,807.32/38,727.42 = 11,768.74/x
  3. Step 3: Cross multiply
    25,807.32x = 38,727.42 × 11,768.74
  4. Step 4: Simplify right side
    25,807.32x = 455,773,013.74
  5. Step 5: Solve for x
    x = 455,773,013.74/25,807.32
  6. Step 6: Final answer
    x = 17,660.61

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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.