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Finding the Fourth Proportional to 22,201.14, 33,312.02 and 9,719.50

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Solution

The fourth proportional to 22,201.14, 33,312.02 and 9,719.50 is: 14,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201.14 : 33,312.02 = 9,719.50 : x
  2. Step 2: Convert to fraction form
    22,201.14/33,312.02 = 9,719.50/x
  3. Step 3: Cross multiply
    22,201.14x = 33,312.02 × 9,719.50
  4. Step 4: Simplify right side
    22,201.14x = 323,776,178.39
  5. Step 5: Solve for x
    x = 323,776,178.39/22,201.14
  6. Step 6: Final answer
    x = 14,583.76

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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.