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Finding the Fourth Proportional to 17,923.68, 26,869.80 and 6,822.99

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Solution

The fourth proportional to 17,923.68, 26,869.80 and 6,822.99 is: 10,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.68 : 26,869.80 = 6,822.99 : x
  2. Step 2: Convert to fraction form
    17,923.68/26,869.80 = 6,822.99/x
  3. Step 3: Cross multiply
    17,923.68x = 26,869.80 × 6,822.99
  4. Step 4: Simplify right side
    17,923.68x = 183,332,242.35
  5. Step 5: Solve for x
    x = 183,332,242.35/17,923.68
  6. Step 6: Final answer
    x = 10,228.49

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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.