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Finding the Fourth Proportional to 22,569.84, 33,848.28 and 6,774.24

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Solution

The fourth proportional to 22,569.84, 33,848.28 and 6,774.24 is: 10,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569.84 : 33,848.28 = 6,774.24 : x
  2. Step 2: Convert to fraction form
    22,569.84/33,848.28 = 6,774.24/x
  3. Step 3: Cross multiply
    22,569.84x = 33,848.28 × 6,774.24
  4. Step 4: Simplify right side
    22,569.84x = 229,296,372.31
  5. Step 5: Solve for x
    x = 229,296,372.31/22,569.84
  6. Step 6: Final answer
    x = 10,159.42

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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.