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Finding the Fourth Proportional to 23,637.42, 35,462.28 and 8,847.50

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Solution

The fourth proportional to 23,637.42, 35,462.28 and 8,847.50 is: 13,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,637.42 : 35,462.28 = 8,847.50 : x
  2. Step 2: Convert to fraction form
    23,637.42/35,462.28 = 8,847.50/x
  3. Step 3: Cross multiply
    23,637.42x = 35,462.28 × 8,847.50
  4. Step 4: Simplify right side
    23,637.42x = 313,752,522.30
  5. Step 5: Solve for x
    x = 313,752,522.30/23,637.42
  6. Step 6: Final answer
    x = 13,273.55

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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.