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Finding the Fourth Proportional to 12,689.42, 19,034.12 and 3,924.14

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Solution

The fourth proportional to 12,689.42, 19,034.12 and 3,924.14 is: 5,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.42 : 19,034.12 = 3,924.14 : x
  2. Step 2: Convert to fraction form
    12,689.42/19,034.12 = 3,924.14/x
  3. Step 3: Cross multiply
    12,689.42x = 19,034.12 × 3,924.14
  4. Step 4: Simplify right side
    12,689.42x = 74,692,551.66
  5. Step 5: Solve for x
    x = 74,692,551.66/12,689.42
  6. Step 6: Final answer
    x = 5,886.21

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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.