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Finding the Fourth Proportional to 14,864.68, 20,512.50 and 8,576.68

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Solution

The fourth proportional to 14,864.68, 20,512.50 and 8,576.68 is: 11,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.68 : 20,512.50 = 8,576.68 : x
  2. Step 2: Convert to fraction form
    14,864.68/20,512.50 = 8,576.68/x
  3. Step 3: Cross multiply
    14,864.68x = 20,512.50 × 8,576.68
  4. Step 4: Simplify right side
    14,864.68x = 175,929,148.50
  5. Step 5: Solve for x
    x = 175,929,148.50/14,864.68
  6. Step 6: Final answer
    x = 11,835.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.