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Finding the Fourth Proportional to 27,857.98, 38,399.07 and 22,813.30

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Solution

The fourth proportional to 27,857.98, 38,399.07 and 22,813.30 is: 31,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.98 : 38,399.07 = 22,813.30 : x
  2. Step 2: Convert to fraction form
    27,857.98/38,399.07 = 22,813.30/x
  3. Step 3: Cross multiply
    27,857.98x = 38,399.07 × 22,813.30
  4. Step 4: Simplify right side
    27,857.98x = 876,009,681.01
  5. Step 5: Solve for x
    x = 876,009,681.01/27,857.98
  6. Step 6: Final answer
    x = 31,445.55

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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.