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Finding the Fourth Proportional to 27,671.40, 41,496.92 and 9,897.28

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Solution

The fourth proportional to 27,671.40, 41,496.92 and 9,897.28 is: 14,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.40 : 41,496.92 = 9,897.28 : x
  2. Step 2: Convert to fraction form
    27,671.40/41,496.92 = 9,897.28/x
  3. Step 3: Cross multiply
    27,671.40x = 41,496.92 × 9,897.28
  4. Step 4: Simplify right side
    27,671.40x = 410,706,636.38
  5. Step 5: Solve for x
    x = 410,706,636.38/27,671.40
  6. Step 6: Final answer
    x = 14,842.28

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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.