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Finding the Fourth Proportional to 17,531.30, 24,194.72 and 9,976.01

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Solution

The fourth proportional to 17,531.30, 24,194.72 and 9,976.01 is: 13,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.30 : 24,194.72 = 9,976.01 : x
  2. Step 2: Convert to fraction form
    17,531.30/24,194.72 = 9,976.01/x
  3. Step 3: Cross multiply
    17,531.30x = 24,194.72 × 9,976.01
  4. Step 4: Simplify right side
    17,531.30x = 241,366,854.09
  5. Step 5: Solve for x
    x = 241,366,854.09/17,531.30
  6. Step 6: Final answer
    x = 13,767.77

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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.