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Finding the Fourth Proportional to 23,816.74, 35,712.46 and 8,016.50

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Solution

The fourth proportional to 23,816.74, 35,712.46 and 8,016.50 is: 12,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.74 : 35,712.46 = 8,016.50 : x
  2. Step 2: Convert to fraction form
    23,816.74/35,712.46 = 8,016.50/x
  3. Step 3: Cross multiply
    23,816.74x = 35,712.46 × 8,016.50
  4. Step 4: Simplify right side
    23,816.74x = 286,288,935.59
  5. Step 5: Solve for x
    x = 286,288,935.59/23,816.74
  6. Step 6: Final answer
    x = 12,020.49

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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.