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Finding the Fourth Proportional to 23,844.78, 32,906.66 and 14,407.88

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Solution

The fourth proportional to 23,844.78, 32,906.66 and 14,407.88 is: 19,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.78 : 32,906.66 = 14,407.88 : x
  2. Step 2: Convert to fraction form
    23,844.78/32,906.66 = 14,407.88/x
  3. Step 3: Cross multiply
    23,844.78x = 32,906.66 × 14,407.88
  4. Step 4: Simplify right side
    23,844.78x = 474,114,971.91
  5. Step 5: Solve for x
    x = 474,114,971.91/23,844.78
  6. Step 6: Final answer
    x = 19,883.39

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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.