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Finding the Fourth Proportional to 27,654.52, 41,455.86 and 13,788.28

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Solution

The fourth proportional to 27,654.52, 41,455.86 and 13,788.28 is: 20,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.52 : 41,455.86 = 13,788.28 : x
  2. Step 2: Convert to fraction form
    27,654.52/41,455.86 = 13,788.28/x
  3. Step 3: Cross multiply
    27,654.52x = 41,455.86 × 13,788.28
  4. Step 4: Simplify right side
    27,654.52x = 571,605,005.32
  5. Step 5: Solve for x
    x = 571,605,005.32/27,654.52
  6. Step 6: Final answer
    x = 20,669.50

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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.