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Finding the Fourth Proportional to 27,022.72, 40,534.08 and 8,302.72

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Solution

The fourth proportional to 27,022.72, 40,534.08 and 8,302.72 is: 12,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022.72 : 40,534.08 = 8,302.72 : x
  2. Step 2: Convert to fraction form
    27,022.72/40,534.08 = 8,302.72/x
  3. Step 3: Cross multiply
    27,022.72x = 40,534.08 × 8,302.72
  4. Step 4: Simplify right side
    27,022.72x = 336,543,116.70
  5. Step 5: Solve for x
    x = 336,543,116.70/27,022.72
  6. Step 6: Final answer
    x = 12,454.08

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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.