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Finding the Fourth Proportional to 23,548.96, 35,319.18 and 9,508.40

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Solution

The fourth proportional to 23,548.96, 35,319.18 and 9,508.40 is: 14,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548.96 : 35,319.18 = 9,508.40 : x
  2. Step 2: Convert to fraction form
    23,548.96/35,319.18 = 9,508.40/x
  3. Step 3: Cross multiply
    23,548.96x = 35,319.18 × 9,508.40
  4. Step 4: Simplify right side
    23,548.96x = 335,828,891.11
  5. Step 5: Solve for x
    x = 335,828,891.11/23,548.96
  6. Step 6: Final answer
    x = 14,260.88

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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.