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Finding the Fourth Proportional to 27,812.51, 41,723.32 and 9,087.11

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Solution

The fourth proportional to 27,812.51, 41,723.32 and 9,087.11 is: 13,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.51 : 41,723.32 = 9,087.11 : x
  2. Step 2: Convert to fraction form
    27,812.51/41,723.32 = 9,087.11/x
  3. Step 3: Cross multiply
    27,812.51x = 41,723.32 × 9,087.11
  4. Step 4: Simplify right side
    27,812.51x = 379,144,398.41
  5. Step 5: Solve for x
    x = 379,144,398.41/27,812.51
  6. Step 6: Final answer
    x = 13,632.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.