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Finding the Fourth Proportional to 23,668.29, 32,661.23 and 13,057.70

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Solution

The fourth proportional to 23,668.29, 32,661.23 and 13,057.70 is: 18,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.29 : 32,661.23 = 13,057.70 : x
  2. Step 2: Convert to fraction form
    23,668.29/32,661.23 = 13,057.70/x
  3. Step 3: Cross multiply
    23,668.29x = 32,661.23 × 13,057.70
  4. Step 4: Simplify right side
    23,668.29x = 426,480,314.38
  5. Step 5: Solve for x
    x = 426,480,314.38/23,668.29
  6. Step 6: Final answer
    x = 18,019.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.