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Finding the Fourth Proportional to 22,356.94, 33,484.35 and 10,678.42

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Solution

The fourth proportional to 22,356.94, 33,484.35 and 10,678.42 is: 15,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.94 : 33,484.35 = 10,678.42 : x
  2. Step 2: Convert to fraction form
    22,356.94/33,484.35 = 10,678.42/x
  3. Step 3: Cross multiply
    22,356.94x = 33,484.35 × 10,678.42
  4. Step 4: Simplify right side
    22,356.94x = 357,559,952.73
  5. Step 5: Solve for x
    x = 357,559,952.73/22,356.94
  6. Step 6: Final answer
    x = 15,993.24

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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.