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Finding the Fourth Proportional to 27,411.51, 41,084.15 and 13,350.46

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Solution

The fourth proportional to 27,411.51, 41,084.15 and 13,350.46 is: 20,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411.51 : 41,084.15 = 13,350.46 : x
  2. Step 2: Convert to fraction form
    27,411.51/41,084.15 = 13,350.46/x
  3. Step 3: Cross multiply
    27,411.51x = 41,084.15 × 13,350.46
  4. Step 4: Simplify right side
    27,411.51x = 548,492,131.75
  5. Step 5: Solve for x
    x = 548,492,131.75/27,411.51
  6. Step 6: Final answer
    x = 20,009.56

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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.