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Finding the Fourth Proportional to 22,473.24, 33,709.70 and 17,547

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Solution

The fourth proportional to 22,473.24, 33,709.70 and 17,547 is: 26,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.24 : 33,709.70 = 17,547 : x
  2. Step 2: Convert to fraction form
    22,473.24/33,709.70 = 17,547/x
  3. Step 3: Cross multiply
    22,473.24x = 33,709.70 × 17,547
  4. Step 4: Simplify right side
    22,473.24x = 591,504,105.90
  5. Step 5: Solve for x
    x = 591,504,105.90/22,473.24
  6. Step 6: Final answer
    x = 26,320.38

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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.