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Finding the Fourth Proportional to 22,406.44, 33,587.40 and 10,706

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Solution

The fourth proportional to 22,406.44, 33,587.40 and 10,706 is: 16,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.44 : 33,587.40 = 10,706 : x
  2. Step 2: Convert to fraction form
    22,406.44/33,587.40 = 10,706/x
  3. Step 3: Cross multiply
    22,406.44x = 33,587.40 × 10,706
  4. Step 4: Simplify right side
    22,406.44x = 359,586,704.40
  5. Step 5: Solve for x
    x = 359,586,704.40/22,406.44
  6. Step 6: Final answer
    x = 16,048.36

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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.