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Finding the Fourth Proportional to 27,409.84, 41,111.70 and 7,689.16

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Solution

The fourth proportional to 27,409.84, 41,111.70 and 7,689.16 is: 11,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.84 : 41,111.70 = 7,689.16 : x
  2. Step 2: Convert to fraction form
    27,409.84/41,111.70 = 7,689.16/x
  3. Step 3: Cross multiply
    27,409.84x = 41,111.70 × 7,689.16
  4. Step 4: Simplify right side
    27,409.84x = 316,114,439.17
  5. Step 5: Solve for x
    x = 316,114,439.17/27,409.84
  6. Step 6: Final answer
    x = 11,532.88

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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.