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Finding the Fourth Proportional to 22,147.38, 33,210.09 and 9,661.98

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Solution

The fourth proportional to 22,147.38, 33,210.09 and 9,661.98 is: 14,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.38 : 33,210.09 = 9,661.98 : x
  2. Step 2: Convert to fraction form
    22,147.38/33,210.09 = 9,661.98/x
  3. Step 3: Cross multiply
    22,147.38x = 33,210.09 × 9,661.98
  4. Step 4: Simplify right side
    22,147.38x = 320,875,225.38
  5. Step 5: Solve for x
    x = 320,875,225.38/22,147.38
  6. Step 6: Final answer
    x = 14,488.18

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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.