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Finding the Fourth Proportional to 19,805.49, 27,332.34 and 10,853.79

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Solution

The fourth proportional to 19,805.49, 27,332.34 and 10,853.79 is: 14,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.49 : 27,332.34 = 10,853.79 : x
  2. Step 2: Convert to fraction form
    19,805.49/27,332.34 = 10,853.79/x
  3. Step 3: Cross multiply
    19,805.49x = 27,332.34 × 10,853.79
  4. Step 4: Simplify right side
    19,805.49x = 296,659,478.57
  5. Step 5: Solve for x
    x = 296,659,478.57/19,805.49
  6. Step 6: Final answer
    x = 14,978.65

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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.