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Finding the Fourth Proportional to 23,165.76, 34,748.29 and 7,371.75

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Solution

The fourth proportional to 23,165.76, 34,748.29 and 7,371.75 is: 11,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165.76 : 34,748.29 = 7,371.75 : x
  2. Step 2: Convert to fraction form
    23,165.76/34,748.29 = 7,371.75/x
  3. Step 3: Cross multiply
    23,165.76x = 34,748.29 × 7,371.75
  4. Step 4: Simplify right side
    23,165.76x = 256,155,706.81
  5. Step 5: Solve for x
    x = 256,155,706.81/23,165.76
  6. Step 6: Final answer
    x = 11,057.51

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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.