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Finding the Fourth Proportional to 27,202.13, 40,825.13 and 14,058.26

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Solution

The fourth proportional to 27,202.13, 40,825.13 and 14,058.26 is: 21,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.13 : 40,825.13 = 14,058.26 : x
  2. Step 2: Convert to fraction form
    27,202.13/40,825.13 = 14,058.26/x
  3. Step 3: Cross multiply
    27,202.13x = 40,825.13 × 14,058.26
  4. Step 4: Simplify right side
    27,202.13x = 573,930,017.66
  5. Step 5: Solve for x
    x = 573,930,017.66/27,202.13
  6. Step 6: Final answer
    x = 21,098.72

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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.