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Finding the Fourth Proportional to 22,089.08, 33,132.54 and 8,237

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Solution

The fourth proportional to 22,089.08, 33,132.54 and 8,237 is: 12,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,089.08 : 33,132.54 = 8,237 : x
  2. Step 2: Convert to fraction form
    22,089.08/33,132.54 = 8,237/x
  3. Step 3: Cross multiply
    22,089.08x = 33,132.54 × 8,237
  4. Step 4: Simplify right side
    22,089.08x = 272,912,731.98
  5. Step 5: Solve for x
    x = 272,912,731.98/22,089.08
  6. Step 6: Final answer
    x = 12,355.10

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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.