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Finding the Fourth Proportional to 22,484.48, 33,726.74 and 7,693.52

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Solution

The fourth proportional to 22,484.48, 33,726.74 and 7,693.52 is: 11,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.48 : 33,726.74 = 7,693.52 : x
  2. Step 2: Convert to fraction form
    22,484.48/33,726.74 = 7,693.52/x
  3. Step 3: Cross multiply
    22,484.48x = 33,726.74 × 7,693.52
  4. Step 4: Simplify right side
    22,484.48x = 259,477,141.62
  5. Step 5: Solve for x
    x = 259,477,141.62/22,484.48
  6. Step 6: Final answer
    x = 11,540.28

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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.