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Finding the Fourth Proportional to 27,433.44, 41,155.92 and 8,964

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Solution

The fourth proportional to 27,433.44, 41,155.92 and 8,964 is: 13,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,433.44 : 41,155.92 = 8,964 : x
  2. Step 2: Convert to fraction form
    27,433.44/41,155.92 = 8,964/x
  3. Step 3: Cross multiply
    27,433.44x = 41,155.92 × 8,964
  4. Step 4: Simplify right side
    27,433.44x = 368,921,666.88
  5. Step 5: Solve for x
    x = 368,921,666.88/27,433.44
  6. Step 6: Final answer
    x = 13,447.88

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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.