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Finding the Fourth Proportional to 22,468.14, 33,705.72 and 9,992.52

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Solution

The fourth proportional to 22,468.14, 33,705.72 and 9,992.52 is: 14,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.14 : 33,705.72 = 9,992.52 : x
  2. Step 2: Convert to fraction form
    22,468.14/33,705.72 = 9,992.52/x
  3. Step 3: Cross multiply
    22,468.14x = 33,705.72 × 9,992.52
  4. Step 4: Simplify right side
    22,468.14x = 336,805,081.21
  5. Step 5: Solve for x
    x = 336,805,081.21/22,468.14
  6. Step 6: Final answer
    x = 14,990.34

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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.