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Finding the Fourth Proportional to 27,124.77, 40,654.31 and 11,509.59

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Solution

The fourth proportional to 27,124.77, 40,654.31 and 11,509.59 is: 17,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124.77 : 40,654.31 = 11,509.59 : x
  2. Step 2: Convert to fraction form
    27,124.77/40,654.31 = 11,509.59/x
  3. Step 3: Cross multiply
    27,124.77x = 40,654.31 × 11,509.59
  4. Step 4: Simplify right side
    27,124.77x = 467,914,534.74
  5. Step 5: Solve for x
    x = 467,914,534.74/27,124.77
  6. Step 6: Final answer
    x = 17,250.45

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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.