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Finding the Fourth Proportional to 16,310.04, 22,507.47 and 9,596.10

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Solution

The fourth proportional to 16,310.04, 22,507.47 and 9,596.10 is: 13,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.04 : 22,507.47 = 9,596.10 : x
  2. Step 2: Convert to fraction form
    16,310.04/22,507.47 = 9,596.10/x
  3. Step 3: Cross multiply
    16,310.04x = 22,507.47 × 9,596.10
  4. Step 4: Simplify right side
    16,310.04x = 215,983,876.60
  5. Step 5: Solve for x
    x = 215,983,876.60/16,310.04
  6. Step 6: Final answer
    x = 13,242.39

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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.