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Finding the Fourth Proportional to 22,020.86, 33,031.29 and 6,438.48

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Solution

The fourth proportional to 22,020.86, 33,031.29 and 6,438.48 is: 9,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,020.86 : 33,031.29 = 6,438.48 : x
  2. Step 2: Convert to fraction form
    22,020.86/33,031.29 = 6,438.48/x
  3. Step 3: Cross multiply
    22,020.86x = 33,031.29 × 6,438.48
  4. Step 4: Simplify right side
    22,020.86x = 212,671,300.04
  5. Step 5: Solve for x
    x = 212,671,300.04/22,020.86
  6. Step 6: Final answer
    x = 9,657.72

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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.