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Finding the Fourth Proportional to 22,024.56, 33,036.85 and 6,442.18

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Solution

The fourth proportional to 22,024.56, 33,036.85 and 6,442.18 is: 9,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.56 : 33,036.85 = 6,442.18 : x
  2. Step 2: Convert to fraction form
    22,024.56/33,036.85 = 6,442.18/x
  3. Step 3: Cross multiply
    22,024.56x = 33,036.85 × 6,442.18
  4. Step 4: Simplify right side
    22,024.56x = 212,829,409.39
  5. Step 5: Solve for x
    x = 212,829,409.39/22,024.56
  6. Step 6: Final answer
    x = 9,663.28

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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.