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Finding the Fourth Proportional to 27,813.51, 41,724.82 and 9,088.11

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Solution

The fourth proportional to 27,813.51, 41,724.82 and 9,088.11 is: 13,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.51 : 41,724.82 = 9,088.11 : x
  2. Step 2: Convert to fraction form
    27,813.51/41,724.82 = 9,088.11/x
  3. Step 3: Cross multiply
    27,813.51x = 41,724.82 × 9,088.11
  4. Step 4: Simplify right side
    27,813.51x = 379,199,753.89
  5. Step 5: Solve for x
    x = 379,199,753.89/27,813.51
  6. Step 6: Final answer
    x = 13,633.65

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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.