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Finding the Fourth Proportional to 16,252.16, 22,424.16 and 9,538.88

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Solution

The fourth proportional to 16,252.16, 22,424.16 and 9,538.88 is: 13,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.16 : 22,424.16 = 9,538.88 : x
  2. Step 2: Convert to fraction form
    16,252.16/22,424.16 = 9,538.88/x
  3. Step 3: Cross multiply
    16,252.16x = 22,424.16 × 9,538.88
  4. Step 4: Simplify right side
    16,252.16x = 213,901,371.34
  5. Step 5: Solve for x
    x = 213,901,371.34/16,252.16
  6. Step 6: Final answer
    x = 13,161.41

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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.