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Finding the Fourth Proportional to 23,807.70, 35,653.23 and 16,770.42

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Solution

The fourth proportional to 23,807.70, 35,653.23 and 16,770.42 is: 25,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.70 : 35,653.23 = 16,770.42 : x
  2. Step 2: Convert to fraction form
    23,807.70/35,653.23 = 16,770.42/x
  3. Step 3: Cross multiply
    23,807.70x = 35,653.23 × 16,770.42
  4. Step 4: Simplify right side
    23,807.70x = 597,919,641.46
  5. Step 5: Solve for x
    x = 597,919,641.46/23,807.70
  6. Step 6: Final answer
    x = 25,114.55

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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.