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Finding the Fourth Proportional to 17,541.84, 24,208.09 and 9,584.56

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Solution

The fourth proportional to 17,541.84, 24,208.09 and 9,584.56 is: 13,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541.84 : 24,208.09 = 9,584.56 : x
  2. Step 2: Convert to fraction form
    17,541.84/24,208.09 = 9,584.56/x
  3. Step 3: Cross multiply
    17,541.84x = 24,208.09 × 9,584.56
  4. Step 4: Simplify right side
    17,541.84x = 232,023,806.61
  5. Step 5: Solve for x
    x = 232,023,806.61/17,541.84
  6. Step 6: Final answer
    x = 13,226.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.