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Finding the Fourth Proportional to 23,816.70, 35,723.43 and 9,024.48

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Solution

The fourth proportional to 23,816.70, 35,723.43 and 9,024.48 is: 13,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.70 : 35,723.43 = 9,024.48 : x
  2. Step 2: Convert to fraction form
    23,816.70/35,723.43 = 9,024.48/x
  3. Step 3: Cross multiply
    23,816.70x = 35,723.43 × 9,024.48
  4. Step 4: Simplify right side
    23,816.70x = 322,385,379.57
  5. Step 5: Solve for x
    x = 322,385,379.57/23,816.70
  6. Step 6: Final answer
    x = 13,536.11

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1.5x scale

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.