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Finding the Fourth Proportional to 23,510, 35,254.20 and 8,715.44

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Solution

The fourth proportional to 23,510, 35,254.20 and 8,715.44 is: 13,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,510 : 35,254.20 = 8,715.44 : x
  2. Step 2: Convert to fraction form
    23,510/35,254.20 = 8,715.44/x
  3. Step 3: Cross multiply
    23,510x = 35,254.20 × 8,715.44
  4. Step 4: Simplify right side
    23,510x = 307,255,864.85
  5. Step 5: Solve for x
    x = 307,255,864.85/23,510
  6. Step 6: Final answer
    x = 13,069.16

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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.