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Finding the Fourth Proportional to 27,667.58, 41,505.41 and 8,944.02

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Solution

The fourth proportional to 27,667.58, 41,505.41 and 8,944.02 is: 13,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667.58 : 41,505.41 = 8,944.02 : x
  2. Step 2: Convert to fraction form
    27,667.58/41,505.41 = 8,944.02/x
  3. Step 3: Cross multiply
    27,667.58x = 41,505.41 × 8,944.02
  4. Step 4: Simplify right side
    27,667.58x = 371,225,239.51
  5. Step 5: Solve for x
    x = 371,225,239.51/27,667.58
  6. Step 6: Final answer
    x = 13,417.34

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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.