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Finding the Fourth Proportional to 22,509.40, 33,764.10 and 10,221.40

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Solution

The fourth proportional to 22,509.40, 33,764.10 and 10,221.40 is: 15,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.40 : 33,764.10 = 10,221.40 : x
  2. Step 2: Convert to fraction form
    22,509.40/33,764.10 = 10,221.40/x
  3. Step 3: Cross multiply
    22,509.40x = 33,764.10 × 10,221.40
  4. Step 4: Simplify right side
    22,509.40x = 345,116,371.74
  5. Step 5: Solve for x
    x = 345,116,371.74/22,509.40
  6. Step 6: Final answer
    x = 15,332.10

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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.