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Finding the Fourth Proportional to 22,649.40, 33,948.66 and 10,647.48

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Solution

The fourth proportional to 22,649.40, 33,948.66 and 10,647.48 is: 15,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.40 : 33,948.66 = 10,647.48 : x
  2. Step 2: Convert to fraction form
    22,649.40/33,948.66 = 10,647.48/x
  3. Step 3: Cross multiply
    22,649.40x = 33,948.66 × 10,647.48
  4. Step 4: Simplify right side
    22,649.40x = 361,467,678.38
  5. Step 5: Solve for x
    x = 361,467,678.38/22,649.40
  6. Step 6: Final answer
    x = 15,959.26

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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.