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Finding the Fourth Proportional to 22,322.52, 33,483.57 and 6,740.14

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Solution

The fourth proportional to 22,322.52, 33,483.57 and 6,740.14 is: 10,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322.52 : 33,483.57 = 6,740.14 : x
  2. Step 2: Convert to fraction form
    22,322.52/33,483.57 = 6,740.14/x
  3. Step 3: Cross multiply
    22,322.52x = 33,483.57 × 6,740.14
  4. Step 4: Simplify right side
    22,322.52x = 225,683,949.50
  5. Step 5: Solve for x
    x = 225,683,949.50/22,322.52
  6. Step 6: Final answer
    x = 10,110.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.