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Finding the Fourth Proportional to 12,959.39, 19,435.17 and 3,597.14

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Solution

The fourth proportional to 12,959.39, 19,435.17 and 3,597.14 is: 5,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.39 : 19,435.17 = 3,597.14 : x
  2. Step 2: Convert to fraction form
    12,959.39/19,435.17 = 3,597.14/x
  3. Step 3: Cross multiply
    12,959.39x = 19,435.17 × 3,597.14
  4. Step 4: Simplify right side
    12,959.39x = 69,911,027.41
  5. Step 5: Solve for x
    x = 69,911,027.41/12,959.39
  6. Step 6: Final answer
    x = 5,394.62

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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.