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Finding the Fourth Proportional to 27,725.84, 38,265.98 and 17,658.62

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Solution

The fourth proportional to 27,725.84, 38,265.98 and 17,658.62 is: 24,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725.84 : 38,265.98 = 17,658.62 : x
  2. Step 2: Convert to fraction form
    27,725.84/38,265.98 = 17,658.62/x
  3. Step 3: Cross multiply
    27,725.84x = 38,265.98 × 17,658.62
  4. Step 4: Simplify right side
    27,725.84x = 675,724,399.75
  5. Step 5: Solve for x
    x = 675,724,399.75/27,725.84
  6. Step 6: Final answer
    x = 24,371.65

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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.