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Finding the Fourth Proportional to 14,367.93, 19,824.78 and 8,398.45

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Solution

The fourth proportional to 14,367.93, 19,824.78 and 8,398.45 is: 11,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,367.93 : 19,824.78 = 8,398.45 : x
  2. Step 2: Convert to fraction form
    14,367.93/19,824.78 = 8,398.45/x
  3. Step 3: Cross multiply
    14,367.93x = 19,824.78 × 8,398.45
  4. Step 4: Simplify right side
    14,367.93x = 166,497,297.49
  5. Step 5: Solve for x
    x = 166,497,297.49/14,367.93
  6. Step 6: Final answer
    x = 11,588.12

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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.