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Finding the Fourth Proportional to 22,646.23, 33,958.41 and 9,495.07

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Solution

The fourth proportional to 22,646.23, 33,958.41 and 9,495.07 is: 14,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.23 : 33,958.41 = 9,495.07 : x
  2. Step 2: Convert to fraction form
    22,646.23/33,958.41 = 9,495.07/x
  3. Step 3: Cross multiply
    22,646.23x = 33,958.41 × 9,495.07
  4. Step 4: Simplify right side
    22,646.23x = 322,437,480.04
  5. Step 5: Solve for x
    x = 322,437,480.04/22,646.23
  6. Step 6: Final answer
    x = 14,238.02

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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.