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Finding the Fourth Proportional to 22,605.16, 33,901.66 and 9,454.84

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Solution

The fourth proportional to 22,605.16, 33,901.66 and 9,454.84 is: 14,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.16 : 33,901.66 = 9,454.84 : x
  2. Step 2: Convert to fraction form
    22,605.16/33,901.66 = 9,454.84/x
  3. Step 3: Cross multiply
    22,605.16x = 33,901.66 × 9,454.84
  4. Step 4: Simplify right side
    22,605.16x = 320,534,771.03
  5. Step 5: Solve for x
    x = 320,534,771.03/22,605.16
  6. Step 6: Final answer
    x = 14,179.72

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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.