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Finding the Fourth Proportional to 17,668.50, 26,502.81 and 5,356.50

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Solution

The fourth proportional to 17,668.50, 26,502.81 and 5,356.50 is: 8,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.50 : 26,502.81 = 5,356.50 : x
  2. Step 2: Convert to fraction form
    17,668.50/26,502.81 = 5,356.50/x
  3. Step 3: Cross multiply
    17,668.50x = 26,502.81 × 5,356.50
  4. Step 4: Simplify right side
    17,668.50x = 141,962,301.77
  5. Step 5: Solve for x
    x = 141,962,301.77/17,668.50
  6. Step 6: Final answer
    x = 8,034.77

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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.