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Finding the Fourth Proportional to 22,230, 33,352.74 and 11,134.20

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Solution

The fourth proportional to 22,230, 33,352.74 and 11,134.20 is: 16,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230 : 33,352.74 = 11,134.20 : x
  2. Step 2: Convert to fraction form
    22,230/33,352.74 = 11,134.20/x
  3. Step 3: Cross multiply
    22,230x = 33,352.74 × 11,134.20
  4. Step 4: Simplify right side
    22,230x = 371,356,077.71
  5. Step 5: Solve for x
    x = 371,356,077.71/22,230
  6. Step 6: Final answer
    x = 16,705.18

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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.