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Finding the Fourth Proportional to 29,715.91, 41,005.61 and 17,138.23

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Solution

The fourth proportional to 29,715.91, 41,005.61 and 17,138.23 is: 23,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,715.91 : 41,005.61 = 17,138.23 : x
  2. Step 2: Convert to fraction form
    29,715.91/41,005.61 = 17,138.23/x
  3. Step 3: Cross multiply
    29,715.91x = 41,005.61 × 17,138.23
  4. Step 4: Simplify right side
    29,715.91x = 702,763,515.80
  5. Step 5: Solve for x
    x = 702,763,515.80/29,715.91
  6. Step 6: Final answer
    x = 23,649.40

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