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Finding the Fourth Proportional to 24,005.25, 36,020.84 and 11,693.25

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Solution

The fourth proportional to 24,005.25, 36,020.84 and 11,693.25 is: 17,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.25 : 36,020.84 = 11,693.25 : x
  2. Step 2: Convert to fraction form
    24,005.25/36,020.84 = 11,693.25/x
  3. Step 3: Cross multiply
    24,005.25x = 36,020.84 × 11,693.25
  4. Step 4: Simplify right side
    24,005.25x = 421,200,628.86
  5. Step 5: Solve for x
    x = 421,200,628.86/24,005.25
  6. Step 6: Final answer
    x = 17,546.19

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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.