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Finding the Fourth Proportional to 22,645.62, 33,955.47 and 9,486.90

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Solution

The fourth proportional to 22,645.62, 33,955.47 and 9,486.90 is: 14,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.62 : 33,955.47 = 9,486.90 : x
  2. Step 2: Convert to fraction form
    22,645.62/33,955.47 = 9,486.90/x
  3. Step 3: Cross multiply
    22,645.62x = 33,955.47 × 9,486.90
  4. Step 4: Simplify right side
    22,645.62x = 322,132,148.34
  5. Step 5: Solve for x
    x = 322,132,148.34/22,645.62
  6. Step 6: Final answer
    x = 14,224.92

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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.