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Finding the Fourth Proportional to 12,837.66, 19,252.62 and 5,442

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Solution

The fourth proportional to 12,837.66, 19,252.62 and 5,442 is: 8,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.66 : 19,252.62 = 5,442 : x
  2. Step 2: Convert to fraction form
    12,837.66/19,252.62 = 5,442/x
  3. Step 3: Cross multiply
    12,837.66x = 19,252.62 × 5,442
  4. Step 4: Simplify right side
    12,837.66x = 104,772,758.04
  5. Step 5: Solve for x
    x = 104,772,758.04/12,837.66
  6. Step 6: Final answer
    x = 8,161.36

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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.