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Finding the Fourth Proportional to 39,257.25, 58,886.52 and 11,178

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Solution

The fourth proportional to 39,257.25, 58,886.52 and 11,178 is: 16,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,257.25 : 58,886.52 = 11,178 : x
  2. Step 2: Convert to fraction form
    39,257.25/58,886.52 = 11,178/x
  3. Step 3: Cross multiply
    39,257.25x = 58,886.52 × 11,178
  4. Step 4: Simplify right side
    39,257.25x = 658,233,520.56
  5. Step 5: Solve for x
    x = 658,233,520.56/39,257.25
  6. Step 6: Final answer
    x = 16,767.18

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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.