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Finding the Fourth Proportional to 16,186.30, 22,337.85 and 9,813.09

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Solution

The fourth proportional to 16,186.30, 22,337.85 and 9,813.09 is: 13,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.30 : 22,337.85 = 9,813.09 : x
  2. Step 2: Convert to fraction form
    16,186.30/22,337.85 = 9,813.09/x
  3. Step 3: Cross multiply
    16,186.30x = 22,337.85 × 9,813.09
  4. Step 4: Simplify right side
    16,186.30x = 219,203,332.46
  5. Step 5: Solve for x
    x = 219,203,332.46/16,186.30
  6. Step 6: Final answer
    x = 13,542.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.