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Finding the Fourth Proportional to 27,925.35, 41,897.13 and 8,204.07

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Solution

The fourth proportional to 27,925.35, 41,897.13 and 8,204.07 is: 12,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,925.35 : 41,897.13 = 8,204.07 : x
  2. Step 2: Convert to fraction form
    27,925.35/41,897.13 = 8,204.07/x
  3. Step 3: Cross multiply
    27,925.35x = 41,897.13 × 8,204.07
  4. Step 4: Simplify right side
    27,925.35x = 343,726,987.32
  5. Step 5: Solve for x
    x = 343,726,987.32/27,925.35
  6. Step 6: Final answer
    x = 12,308.78

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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.