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Finding the Fourth Proportional to 27,144.74, 40,722.50 and 8,423.98

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Solution

The fourth proportional to 27,144.74, 40,722.50 and 8,423.98 is: 12,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144.74 : 40,722.50 = 8,423.98 : x
  2. Step 2: Convert to fraction form
    27,144.74/40,722.50 = 8,423.98/x
  3. Step 3: Cross multiply
    27,144.74x = 40,722.50 × 8,423.98
  4. Step 4: Simplify right side
    27,144.74x = 343,045,457.98
  5. Step 5: Solve for x
    x = 343,045,457.98/27,144.74
  6. Step 6: Final answer
    x = 12,637.64

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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.