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Finding the Fourth Proportional to 27,570.82, 38,046.58 and 16,240.78

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Solution

The fourth proportional to 27,570.82, 38,046.58 and 16,240.78 is: 22,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.82 : 38,046.58 = 16,240.78 : x
  2. Step 2: Convert to fraction form
    27,570.82/38,046.58 = 16,240.78/x
  3. Step 3: Cross multiply
    27,570.82x = 38,046.58 × 16,240.78
  4. Step 4: Simplify right side
    27,570.82x = 617,906,135.53
  5. Step 5: Solve for x
    x = 617,906,135.53/27,570.82
  6. Step 6: Final answer
    x = 22,411.60

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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.