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Finding the Fourth Proportional to 17,826.32, 24,601.74 and 9,871.08

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Solution

The fourth proportional to 17,826.32, 24,601.74 and 9,871.08 is: 13,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.32 : 24,601.74 = 9,871.08 : x
  2. Step 2: Convert to fraction form
    17,826.32/24,601.74 = 9,871.08/x
  3. Step 3: Cross multiply
    17,826.32x = 24,601.74 × 9,871.08
  4. Step 4: Simplify right side
    17,826.32x = 242,845,743.68
  5. Step 5: Solve for x
    x = 242,845,743.68/17,826.32
  6. Step 6: Final answer
    x = 13,622.88

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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.