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Finding the Fourth Proportional to 19,838.96, 27,378.75 and 10,886.39

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Solution

The fourth proportional to 19,838.96, 27,378.75 and 10,886.39 is: 15,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.96 : 27,378.75 = 10,886.39 : x
  2. Step 2: Convert to fraction form
    19,838.96/27,378.75 = 10,886.39/x
  3. Step 3: Cross multiply
    19,838.96x = 27,378.75 × 10,886.39
  4. Step 4: Simplify right side
    19,838.96x = 298,055,613.32
  5. Step 5: Solve for x
    x = 298,055,613.32/19,838.96
  6. Step 6: Final answer
    x = 15,023.76

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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.