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Finding the Fourth Proportional to 16,535.40, 22,818.96 and 9,462

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Solution

The fourth proportional to 16,535.40, 22,818.96 and 9,462 is: 13,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.40 : 22,818.96 = 9,462 : x
  2. Step 2: Convert to fraction form
    16,535.40/22,818.96 = 9,462/x
  3. Step 3: Cross multiply
    16,535.40x = 22,818.96 × 9,462
  4. Step 4: Simplify right side
    16,535.40x = 215,912,999.52
  5. Step 5: Solve for x
    x = 215,912,999.52/16,535.40
  6. Step 6: Final answer
    x = 13,057.62

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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.