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Finding the Fourth Proportional to 17,763.60, 24,513.84 and 9,697.26

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Solution

The fourth proportional to 17,763.60, 24,513.84 and 9,697.26 is: 13,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.60 : 24,513.84 = 9,697.26 : x
  2. Step 2: Convert to fraction form
    17,763.60/24,513.84 = 9,697.26/x
  3. Step 3: Cross multiply
    17,763.60x = 24,513.84 × 9,697.26
  4. Step 4: Simplify right side
    17,763.60x = 237,717,080.08
  5. Step 5: Solve for x
    x = 237,717,080.08/17,763.60
  6. Step 6: Final answer
    x = 13,382.26

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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.