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Finding the Fourth Proportional to 27,152.19, 40,734.66 and 8,431.26

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Solution

The fourth proportional to 27,152.19, 40,734.66 and 8,431.26 is: 12,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152.19 : 40,734.66 = 8,431.26 : x
  2. Step 2: Convert to fraction form
    27,152.19/40,734.66 = 8,431.26/x
  3. Step 3: Cross multiply
    27,152.19x = 40,734.66 × 8,431.26
  4. Step 4: Simplify right side
    27,152.19x = 343,444,509.47
  5. Step 5: Solve for x
    x = 343,444,509.47/27,152.19
  6. Step 6: Final answer
    x = 12,648.87

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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.