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Finding the Fourth Proportional to 22,473.14, 33,713.64 and 7,678.58

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Solution

The fourth proportional to 22,473.14, 33,713.64 and 7,678.58 is: 11,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.14 : 33,713.64 = 7,678.58 : x
  2. Step 2: Convert to fraction form
    22,473.14/33,713.64 = 7,678.58/x
  3. Step 3: Cross multiply
    22,473.14x = 33,713.64 × 7,678.58
  4. Step 4: Simplify right side
    22,473.14x = 258,872,713.26
  5. Step 5: Solve for x
    x = 258,872,713.26/22,473.14
  6. Step 6: Final answer
    x = 11,519.21

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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.