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Finding the Fourth Proportional to 23,381.16, 35,060.36 and 7,793.52

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Solution

The fourth proportional to 23,381.16, 35,060.36 and 7,793.52 is: 11,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.16 : 35,060.36 = 7,793.52 : x
  2. Step 2: Convert to fraction form
    23,381.16/35,060.36 = 7,793.52/x
  3. Step 3: Cross multiply
    23,381.16x = 35,060.36 × 7,793.52
  4. Step 4: Simplify right side
    23,381.16x = 273,243,616.87
  5. Step 5: Solve for x
    x = 273,243,616.87/23,381.16
  6. Step 6: Final answer
    x = 11,686.49

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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.