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Finding the Fourth Proportional to 17,667.79, 26,502.12 and 5,186.50

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Solution

The fourth proportional to 17,667.79, 26,502.12 and 5,186.50 is: 7,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.79 : 26,502.12 = 5,186.50 : x
  2. Step 2: Convert to fraction form
    17,667.79/26,502.12 = 5,186.50/x
  3. Step 3: Cross multiply
    17,667.79x = 26,502.12 × 5,186.50
  4. Step 4: Simplify right side
    17,667.79x = 137,453,179.12
  5. Step 5: Solve for x
    x = 137,453,179.12/17,667.79
  6. Step 6: Final answer
    x = 7,779.88

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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.