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Finding the Fourth Proportional to 27,238.32, 40,848.48 and 8,766

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Solution

The fourth proportional to 27,238.32, 40,848.48 and 8,766 is: 13,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238.32 : 40,848.48 = 8,766 : x
  2. Step 2: Convert to fraction form
    27,238.32/40,848.48 = 8,766/x
  3. Step 3: Cross multiply
    27,238.32x = 40,848.48 × 8,766
  4. Step 4: Simplify right side
    27,238.32x = 358,077,775.68
  5. Step 5: Solve for x
    x = 358,077,775.68/27,238.32
  6. Step 6: Final answer
    x = 13,146.10

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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.