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Finding the Fourth Proportional to 36,646, 54,966.24 and 11,685.04

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Solution

The fourth proportional to 36,646, 54,966.24 and 11,685.04 is: 17,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,646 : 54,966.24 = 11,685.04 : x
  2. Step 2: Convert to fraction form
    36,646/54,966.24 = 11,685.04/x
  3. Step 3: Cross multiply
    36,646x = 54,966.24 × 11,685.04
  4. Step 4: Simplify right side
    36,646x = 642,282,713.05
  5. Step 5: Solve for x
    x = 642,282,713.05/36,646
  6. Step 6: Final answer
    x = 17,526.68

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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.