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Finding the Fourth Proportional to 19,854, 27,398.52 and 11,022

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Solution

The fourth proportional to 19,854, 27,398.52 and 11,022 is: 15,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854 : 27,398.52 = 11,022 : x
  2. Step 2: Convert to fraction form
    19,854/27,398.52 = 11,022/x
  3. Step 3: Cross multiply
    19,854x = 27,398.52 × 11,022
  4. Step 4: Simplify right side
    19,854x = 301,986,487.44
  5. Step 5: Solve for x
    x = 301,986,487.44/19,854
  6. Step 6: Final answer
    x = 15,210.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.