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Finding the Fourth Proportional to 14,196.78, 21,297.75 and 5,872.29

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Solution

The fourth proportional to 14,196.78, 21,297.75 and 5,872.29 is: 8,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.78 : 21,297.75 = 5,872.29 : x
  2. Step 2: Convert to fraction form
    14,196.78/21,297.75 = 5,872.29/x
  3. Step 3: Cross multiply
    14,196.78x = 21,297.75 × 5,872.29
  4. Step 4: Simplify right side
    14,196.78x = 125,066,564.35
  5. Step 5: Solve for x
    x = 125,066,564.35/14,196.78
  6. Step 6: Final answer
    x = 8,809.50

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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.