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Finding the Fourth Proportional to 19,853.69, 27,398.41 and 10,902

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Solution

The fourth proportional to 19,853.69, 27,398.41 and 10,902 is: 15,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.69 : 27,398.41 = 10,902 : x
  2. Step 2: Convert to fraction form
    19,853.69/27,398.41 = 10,902/x
  3. Step 3: Cross multiply
    19,853.69x = 27,398.41 × 10,902
  4. Step 4: Simplify right side
    19,853.69x = 298,697,465.82
  5. Step 5: Solve for x
    x = 298,697,465.82/19,853.69
  6. Step 6: Final answer
    x = 15,044.93

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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.