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Finding the Fourth Proportional to 27,000.72, 40,496.41 and 12,206.19

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Solution

The fourth proportional to 27,000.72, 40,496.41 and 12,206.19 is: 18,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000.72 : 40,496.41 = 12,206.19 : x
  2. Step 2: Convert to fraction form
    27,000.72/40,496.41 = 12,206.19/x
  3. Step 3: Cross multiply
    27,000.72x = 40,496.41 × 12,206.19
  4. Step 4: Simplify right side
    27,000.72x = 494,306,973.24
  5. Step 5: Solve for x
    x = 494,306,973.24/27,000.72
  6. Step 6: Final answer
    x = 18,307.18

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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.