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Finding the Fourth Proportional to 23,871.84, 35,807.79 and 8,278.50

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Solution

The fourth proportional to 23,871.84, 35,807.79 and 8,278.50 is: 12,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.84 : 35,807.79 = 8,278.50 : x
  2. Step 2: Convert to fraction form
    23,871.84/35,807.79 = 8,278.50/x
  3. Step 3: Cross multiply
    23,871.84x = 35,807.79 × 8,278.50
  4. Step 4: Simplify right side
    23,871.84x = 296,434,789.52
  5. Step 5: Solve for x
    x = 296,434,789.52/23,871.84
  6. Step 6: Final answer
    x = 12,417.76

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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.