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Finding the Fourth Proportional to 27,725.82, 38,289.60 and 17,658.80

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Solution

The fourth proportional to 27,725.82, 38,289.60 and 17,658.80 is: 24,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725.82 : 38,289.60 = 17,658.80 : x
  2. Step 2: Convert to fraction form
    27,725.82/38,289.60 = 17,658.80/x
  3. Step 3: Cross multiply
    27,725.82x = 38,289.60 × 17,658.80
  4. Step 4: Simplify right side
    27,725.82x = 676,148,197.03
  5. Step 5: Solve for x
    x = 676,148,197.03/27,725.82
  6. Step 6: Final answer
    x = 24,386.95

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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.