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Finding the Fourth Proportional to 23,361.42, 35,037.42 and 8,565.30

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Solution

The fourth proportional to 23,361.42, 35,037.42 and 8,565.30 is: 12,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361.42 : 35,037.42 = 8,565.30 : x
  2. Step 2: Convert to fraction form
    23,361.42/35,037.42 = 8,565.30/x
  3. Step 3: Cross multiply
    23,361.42x = 35,037.42 × 8,565.30
  4. Step 4: Simplify right side
    23,361.42x = 300,106,013.53
  5. Step 5: Solve for x
    x = 300,106,013.53/23,361.42
  6. Step 6: Final answer
    x = 12,846.22

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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.