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Finding the Fourth Proportional to 22,342.42, 33,462.58 and 10,663.84

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Solution

The fourth proportional to 22,342.42, 33,462.58 and 10,663.84 is: 15,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.42 : 33,462.58 = 10,663.84 : x
  2. Step 2: Convert to fraction form
    22,342.42/33,462.58 = 10,663.84/x
  3. Step 3: Cross multiply
    22,342.42x = 33,462.58 × 10,663.84
  4. Step 4: Simplify right side
    22,342.42x = 356,839,599.11
  5. Step 5: Solve for x
    x = 356,839,599.11/22,342.42
  6. Step 6: Final answer
    x = 15,971.39

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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.