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Finding the Fourth Proportional to 19,071.92, 26,320.50 and 10,574.42

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Solution

The fourth proportional to 19,071.92, 26,320.50 and 10,574.42 is: 14,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,071.92 : 26,320.50 = 10,574.42 : x
  2. Step 2: Convert to fraction form
    19,071.92/26,320.50 = 10,574.42/x
  3. Step 3: Cross multiply
    19,071.92x = 26,320.50 × 10,574.42
  4. Step 4: Simplify right side
    19,071.92x = 278,324,021.61
  5. Step 5: Solve for x
    x = 278,324,021.61/19,071.92
  6. Step 6: Final answer
    x = 14,593.39

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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.