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Finding the Fourth Proportional to 27,406, 37,785.88 and 22,365.12

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Solution

The fourth proportional to 27,406, 37,785.88 and 22,365.12 is: 30,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406 : 37,785.88 = 22,365.12 : x
  2. Step 2: Convert to fraction form
    27,406/37,785.88 = 22,365.12/x
  3. Step 3: Cross multiply
    27,406x = 37,785.88 × 22,365.12
  4. Step 4: Simplify right side
    27,406x = 845,085,740.51
  5. Step 5: Solve for x
    x = 845,085,740.51/27,406
  6. Step 6: Final answer
    x = 30,835.79

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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.