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Finding the Fourth Proportional to 27,897.90, 41,854.14 and 16,201.08

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Solution

The fourth proportional to 27,897.90, 41,854.14 and 16,201.08 is: 24,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.90 : 41,854.14 = 16,201.08 : x
  2. Step 2: Convert to fraction form
    27,897.90/41,854.14 = 16,201.08/x
  3. Step 3: Cross multiply
    27,897.90x = 41,854.14 × 16,201.08
  4. Step 4: Simplify right side
    27,897.90x = 678,082,270.47
  5. Step 5: Solve for x
    x = 678,082,270.47/27,897.90
  6. Step 6: Final answer
    x = 24,305.85

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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.