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Finding the Fourth Proportional to 23,871.76, 35,808 and 8,289.88

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Solution

The fourth proportional to 23,871.76, 35,808 and 8,289.88 is: 12,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.76 : 35,808 = 8,289.88 : x
  2. Step 2: Convert to fraction form
    23,871.76/35,808 = 8,289.88/x
  3. Step 3: Cross multiply
    23,871.76x = 35,808 × 8,289.88
  4. Step 4: Simplify right side
    23,871.76x = 296,844,023.04
  5. Step 5: Solve for x
    x = 296,844,023.04/23,871.76
  6. Step 6: Final answer
    x = 12,434.95

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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.