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Finding the Fourth Proportional to 17,649.66, 26,318.79 and 15,200.22

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Solution

The fourth proportional to 17,649.66, 26,318.79 and 15,200.22 is: 22,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.66 : 26,318.79 = 15,200.22 : x
  2. Step 2: Convert to fraction form
    17,649.66/26,318.79 = 15,200.22/x
  3. Step 3: Cross multiply
    17,649.66x = 26,318.79 × 15,200.22
  4. Step 4: Simplify right side
    17,649.66x = 400,051,496.83
  5. Step 5: Solve for x
    x = 400,051,496.83/17,649.66
  6. Step 6: Final answer
    x = 22,666.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.