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Finding the Fourth Proportional to 27,206.40, 40,842 and 19,853.76

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Solution

The fourth proportional to 27,206.40, 40,842 and 19,853.76 is: 29,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.40 : 40,842 = 19,853.76 : x
  2. Step 2: Convert to fraction form
    27,206.40/40,842 = 19,853.76/x
  3. Step 3: Cross multiply
    27,206.40x = 40,842 × 19,853.76
  4. Step 4: Simplify right side
    27,206.40x = 810,867,265.92
  5. Step 5: Solve for x
    x = 810,867,265.92/27,206.40
  6. Step 6: Final answer
    x = 29,804.28

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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.