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Finding the Fourth Proportional to 22,142.10, 33,190.08 and 9,658.77

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Solution

The fourth proportional to 22,142.10, 33,190.08 and 9,658.77 is: 14,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.10 : 33,190.08 = 9,658.77 : x
  2. Step 2: Convert to fraction form
    22,142.10/33,190.08 = 9,658.77/x
  3. Step 3: Cross multiply
    22,142.10x = 33,190.08 × 9,658.77
  4. Step 4: Simplify right side
    22,142.10x = 320,575,349.00
  5. Step 5: Solve for x
    x = 320,575,349.00/22,142.10
  6. Step 6: Final answer
    x = 14,478.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.