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Finding the Fourth Proportional to 19,805.74, 27,332.60 and 10,853.22

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Solution

The fourth proportional to 19,805.74, 27,332.60 and 10,853.22 is: 14,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.74 : 27,332.60 = 10,853.22 : x
  2. Step 2: Convert to fraction form
    19,805.74/27,332.60 = 10,853.22/x
  3. Step 3: Cross multiply
    19,805.74x = 27,332.60 × 10,853.22
  4. Step 4: Simplify right side
    19,805.74x = 296,646,720.97
  5. Step 5: Solve for x
    x = 296,646,720.97/19,805.74
  6. Step 6: Final answer
    x = 14,977.82

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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.