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Finding the Fourth Proportional to 24,006.25, 36,022.34 and 11,694.25

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Solution

The fourth proportional to 24,006.25, 36,022.34 and 11,694.25 is: 17,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006.25 : 36,022.34 = 11,694.25 : x
  2. Step 2: Convert to fraction form
    24,006.25/36,022.34 = 11,694.25/x
  3. Step 3: Cross multiply
    24,006.25x = 36,022.34 × 11,694.25
  4. Step 4: Simplify right side
    24,006.25x = 421,254,249.55
  5. Step 5: Solve for x
    x = 421,254,249.55/24,006.25
  6. Step 6: Final answer
    x = 17,547.69

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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.