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Finding the Fourth Proportional to 15,508.16, 21,405.60 and 9,540.80

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Solution

The fourth proportional to 15,508.16, 21,405.60 and 9,540.80 is: 13,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508.16 : 21,405.60 = 9,540.80 : x
  2. Step 2: Convert to fraction form
    15,508.16/21,405.60 = 9,540.80/x
  3. Step 3: Cross multiply
    15,508.16x = 21,405.60 × 9,540.80
  4. Step 4: Simplify right side
    15,508.16x = 204,226,548.48
  5. Step 5: Solve for x
    x = 204,226,548.48/15,508.16
  6. Step 6: Final answer
    x = 13,168.97

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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.