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Finding the Fourth Proportional to 16,358.72, 22,574.76 and 9,644.60

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Solution

The fourth proportional to 16,358.72, 22,574.76 and 9,644.60 is: 13,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.72 : 22,574.76 = 9,644.60 : x
  2. Step 2: Convert to fraction form
    16,358.72/22,574.76 = 9,644.60/x
  3. Step 3: Cross multiply
    16,358.72x = 22,574.76 × 9,644.60
  4. Step 4: Simplify right side
    16,358.72x = 217,724,530.30
  5. Step 5: Solve for x
    x = 217,724,530.30/16,358.72
  6. Step 6: Final answer
    x = 13,309.39

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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.