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Finding the Fourth Proportional to 16,585.52, 22,887.79 and 9,415.38

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Solution

The fourth proportional to 16,585.52, 22,887.79 and 9,415.38 is: 12,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.52 : 22,887.79 = 9,415.38 : x
  2. Step 2: Convert to fraction form
    16,585.52/22,887.79 = 9,415.38/x
  3. Step 3: Cross multiply
    16,585.52x = 22,887.79 × 9,415.38
  4. Step 4: Simplify right side
    16,585.52x = 215,497,161.08
  5. Step 5: Solve for x
    x = 215,497,161.08/16,585.52
  6. Step 6: Final answer
    x = 12,993.09

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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.