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Finding the Fourth Proportional to 17,536.94, 24,200.78 and 9,579.14

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Solution

The fourth proportional to 17,536.94, 24,200.78 and 9,579.14 is: 13,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.94 : 24,200.78 = 9,579.14 : x
  2. Step 2: Convert to fraction form
    17,536.94/24,200.78 = 9,579.14/x
  3. Step 3: Cross multiply
    17,536.94x = 24,200.78 × 9,579.14
  4. Step 4: Simplify right side
    17,536.94x = 231,822,490.83
  5. Step 5: Solve for x
    x = 231,822,490.83/17,536.94
  6. Step 6: Final answer
    x = 13,219.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.