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Finding the Fourth Proportional to 23,874.04, 35,782.98 and 9,073.48

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Solution

The fourth proportional to 23,874.04, 35,782.98 and 9,073.48 is: 13,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.04 : 35,782.98 = 9,073.48 : x
  2. Step 2: Convert to fraction form
    23,874.04/35,782.98 = 9,073.48/x
  3. Step 3: Cross multiply
    23,874.04x = 35,782.98 × 9,073.48
  4. Step 4: Simplify right side
    23,874.04x = 324,676,153.37
  5. Step 5: Solve for x
    x = 324,676,153.37/23,874.04
  6. Step 6: Final answer
    x = 13,599.55

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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.