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Finding the Fourth Proportional to 22,200.45, 33,284.28 and 10,500

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Solution

The fourth proportional to 22,200.45, 33,284.28 and 10,500 is: 15,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.45 : 33,284.28 = 10,500 : x
  2. Step 2: Convert to fraction form
    22,200.45/33,284.28 = 10,500/x
  3. Step 3: Cross multiply
    22,200.45x = 33,284.28 × 10,500
  4. Step 4: Simplify right side
    22,200.45x = 349,484,940
  5. Step 5: Solve for x
    x = 349,484,940/22,200.45
  6. Step 6: Final answer
    x = 15,742.25

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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.