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Finding the Fourth Proportional to 16,588.38, 22,894.14 and 9,513.42

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Solution

The fourth proportional to 16,588.38, 22,894.14 and 9,513.42 is: 13,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.38 : 22,894.14 = 9,513.42 : x
  2. Step 2: Convert to fraction form
    16,588.38/22,894.14 = 9,513.42/x
  3. Step 3: Cross multiply
    16,588.38x = 22,894.14 × 9,513.42
  4. Step 4: Simplify right side
    16,588.38x = 217,801,569.36
  5. Step 5: Solve for x
    x = 217,801,569.36/16,588.38
  6. Step 6: Final answer
    x = 13,129.77

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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.