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Finding the Fourth Proportional to 16,594.84, 22,898.46 and 9,520.12

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Solution

The fourth proportional to 16,594.84, 22,898.46 and 9,520.12 is: 13,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.84 : 22,898.46 = 9,520.12 : x
  2. Step 2: Convert to fraction form
    16,594.84/22,898.46 = 9,520.12/x
  3. Step 3: Cross multiply
    16,594.84x = 22,898.46 × 9,520.12
  4. Step 4: Simplify right side
    16,594.84x = 217,996,087.02
  5. Step 5: Solve for x
    x = 217,996,087.02/16,594.84
  6. Step 6: Final answer
    x = 13,136.38

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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.