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Finding the Fourth Proportional to 23,214, 32,036.54 and 13,654.38

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Solution

The fourth proportional to 23,214, 32,036.54 and 13,654.38 is: 18,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214 : 32,036.54 = 13,654.38 : x
  2. Step 2: Convert to fraction form
    23,214/32,036.54 = 13,654.38/x
  3. Step 3: Cross multiply
    23,214x = 32,036.54 × 13,654.38
  4. Step 4: Simplify right side
    23,214x = 437,439,022.77
  5. Step 5: Solve for x
    x = 437,439,022.77/23,214
  6. Step 6: Final answer
    x = 18,843.76

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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.