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Finding the Fourth Proportional to 27,409.30, 41,088.75 and 9,874.84

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Solution

The fourth proportional to 27,409.30, 41,088.75 and 9,874.84 is: 14,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.30 : 41,088.75 = 9,874.84 : x
  2. Step 2: Convert to fraction form
    27,409.30/41,088.75 = 9,874.84/x
  3. Step 3: Cross multiply
    27,409.30x = 41,088.75 × 9,874.84
  4. Step 4: Simplify right side
    27,409.30x = 405,744,832.05
  5. Step 5: Solve for x
    x = 405,744,832.05/27,409.30
  6. Step 6: Final answer
    x = 14,803.18

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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.