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Finding the Fourth Proportional to 19,859.94, 27,407.16 and 10,908

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Solution

The fourth proportional to 19,859.94, 27,407.16 and 10,908 is: 15,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.94 : 27,407.16 = 10,908 : x
  2. Step 2: Convert to fraction form
    19,859.94/27,407.16 = 10,908/x
  3. Step 3: Cross multiply
    19,859.94x = 27,407.16 × 10,908
  4. Step 4: Simplify right side
    19,859.94x = 298,957,301.28
  5. Step 5: Solve for x
    x = 298,957,301.28/19,859.94
  6. Step 6: Final answer
    x = 15,053.28

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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.