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Finding the Fourth Proportional to 23,700, 35,569.26 and 12,016.56

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Solution

The fourth proportional to 23,700, 35,569.26 and 12,016.56 is: 18,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700 : 35,569.26 = 12,016.56 : x
  2. Step 2: Convert to fraction form
    23,700/35,569.26 = 12,016.56/x
  3. Step 3: Cross multiply
    23,700x = 35,569.26 × 12,016.56
  4. Step 4: Simplify right side
    23,700x = 427,420,146.95
  5. Step 5: Solve for x
    x = 427,420,146.95/23,700
  6. Step 6: Final answer
    x = 18,034.61

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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.