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Finding the Fourth Proportional to 27,144.16, 40,718.82 and 8,424.40

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Solution

The fourth proportional to 27,144.16, 40,718.82 and 8,424.40 is: 12,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144.16 : 40,718.82 = 8,424.40 : x
  2. Step 2: Convert to fraction form
    27,144.16/40,718.82 = 8,424.40/x
  3. Step 3: Cross multiply
    27,144.16x = 40,718.82 × 8,424.40
  4. Step 4: Simplify right side
    27,144.16x = 343,031,627.21
  5. Step 5: Solve for x
    x = 343,031,627.21/27,144.16
  6. Step 6: Final answer
    x = 12,637.40

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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.