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Finding the Fourth Proportional to 27,523.77, 37,987.02 and 22,202.07

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Solution

The fourth proportional to 27,523.77, 37,987.02 and 22,202.07 is: 30,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.77 : 37,987.02 = 22,202.07 : x
  2. Step 2: Convert to fraction form
    27,523.77/37,987.02 = 22,202.07/x
  3. Step 3: Cross multiply
    27,523.77x = 37,987.02 × 22,202.07
  4. Step 4: Simplify right side
    27,523.77x = 843,390,477.13
  5. Step 5: Solve for x
    x = 843,390,477.13/27,523.77
  6. Step 6: Final answer
    x = 30,642.26

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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.