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Finding the Fourth Proportional to 25,797.39, 38,698.13 and 11,006.43

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Solution

The fourth proportional to 25,797.39, 38,698.13 and 11,006.43 is: 16,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.39 : 38,698.13 = 11,006.43 : x
  2. Step 2: Convert to fraction form
    25,797.39/38,698.13 = 11,006.43/x
  3. Step 3: Cross multiply
    25,797.39x = 38,698.13 × 11,006.43
  4. Step 4: Simplify right side
    25,797.39x = 425,928,258.98
  5. Step 5: Solve for x
    x = 425,928,258.98/25,797.39
  6. Step 6: Final answer
    x = 16,510.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.