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Finding the Fourth Proportional to 13,252.46, 19,878.06 and 3,892.10

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Solution

The fourth proportional to 13,252.46, 19,878.06 and 3,892.10 is: 5,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252.46 : 19,878.06 = 3,892.10 : x
  2. Step 2: Convert to fraction form
    13,252.46/19,878.06 = 3,892.10/x
  3. Step 3: Cross multiply
    13,252.46x = 19,878.06 × 3,892.10
  4. Step 4: Simplify right side
    13,252.46x = 77,367,397.33
  5. Step 5: Solve for x
    x = 77,367,397.33/13,252.46
  6. Step 6: Final answer
    x = 5,837.96

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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.