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Finding the Fourth Proportional to 27,813.46, 41,724.72 and 9,088.06

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Solution

The fourth proportional to 27,813.46, 41,724.72 and 9,088.06 is: 13,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.46 : 41,724.72 = 9,088.06 : x
  2. Step 2: Convert to fraction form
    27,813.46/41,724.72 = 9,088.06/x
  3. Step 3: Cross multiply
    27,813.46x = 41,724.72 × 9,088.06
  4. Step 4: Simplify right side
    27,813.46x = 379,196,758.84
  5. Step 5: Solve for x
    x = 379,196,758.84/27,813.46
  6. Step 6: Final answer
    x = 13,633.57

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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.