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Finding the Fourth Proportional to 22,476.30, 33,718.53 and 11,237.50

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Solution

The fourth proportional to 22,476.30, 33,718.53 and 11,237.50 is: 16,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.30 : 33,718.53 = 11,237.50 : x
  2. Step 2: Convert to fraction form
    22,476.30/33,718.53 = 11,237.50/x
  3. Step 3: Cross multiply
    22,476.30x = 33,718.53 × 11,237.50
  4. Step 4: Simplify right side
    22,476.30x = 378,912,065.16
  5. Step 5: Solve for x
    x = 378,912,065.16/22,476.30
  6. Step 6: Final answer
    x = 16,858.30

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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.