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Finding the Fourth Proportional to 24,200.72, 33,388.40 and 15,822.08

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Solution

The fourth proportional to 24,200.72, 33,388.40 and 15,822.08 is: 21,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.72 : 33,388.40 = 15,822.08 : x
  2. Step 2: Convert to fraction form
    24,200.72/33,388.40 = 15,822.08/x
  3. Step 3: Cross multiply
    24,200.72x = 33,388.40 × 15,822.08
  4. Step 4: Simplify right side
    24,200.72x = 528,273,935.87
  5. Step 5: Solve for x
    x = 528,273,935.87/24,200.72
  6. Step 6: Final answer
    x = 21,828.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.