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Finding the Fourth Proportional to 14,770.31, 20,384.24 and 8,398.90

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Solution

The fourth proportional to 14,770.31, 20,384.24 and 8,398.90 is: 11,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.31 : 20,384.24 = 8,398.90 : x
  2. Step 2: Convert to fraction form
    14,770.31/20,384.24 = 8,398.90/x
  3. Step 3: Cross multiply
    14,770.31x = 20,384.24 × 8,398.90
  4. Step 4: Simplify right side
    14,770.31x = 171,205,193.34
  5. Step 5: Solve for x
    x = 171,205,193.34/14,770.31
  6. Step 6: Final answer
    x = 11,591.17

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1.5x scale

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.