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Finding the Fourth Proportional to 24,341.22, 36,498.11 and 7,705.44

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Solution

The fourth proportional to 24,341.22, 36,498.11 and 7,705.44 is: 11,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,341.22 : 36,498.11 = 7,705.44 : x
  2. Step 2: Convert to fraction form
    24,341.22/36,498.11 = 7,705.44/x
  3. Step 3: Cross multiply
    24,341.22x = 36,498.11 × 7,705.44
  4. Step 4: Simplify right side
    24,341.22x = 281,233,958.19
  5. Step 5: Solve for x
    x = 281,233,958.19/24,341.22
  6. Step 6: Final answer
    x = 11,553.82

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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.