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Finding the Fourth Proportional to 22,031.88, 33,052.70 and 6,448.20

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Solution

The fourth proportional to 22,031.88, 33,052.70 and 6,448.20 is: 9,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031.88 : 33,052.70 = 6,448.20 : x
  2. Step 2: Convert to fraction form
    22,031.88/33,052.70 = 6,448.20/x
  3. Step 3: Cross multiply
    22,031.88x = 33,052.70 × 6,448.20
  4. Step 4: Simplify right side
    22,031.88x = 213,130,420.14
  5. Step 5: Solve for x
    x = 213,130,420.14/22,031.88
  6. Step 6: Final answer
    x = 9,673.73

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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.