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Finding the Fourth Proportional to 19,854.52, 27,399.89 and 11,471.02

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Solution

The fourth proportional to 19,854.52, 27,399.89 and 11,471.02 is: 15,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.52 : 27,399.89 = 11,471.02 : x
  2. Step 2: Convert to fraction form
    19,854.52/27,399.89 = 11,471.02/x
  3. Step 3: Cross multiply
    19,854.52x = 27,399.89 × 11,471.02
  4. Step 4: Simplify right side
    19,854.52x = 314,304,686.19
  5. Step 5: Solve for x
    x = 314,304,686.19/19,854.52
  6. Step 6: Final answer
    x = 15,830.38

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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.