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Finding the Fourth Proportional to 12,734.61, 19,098.63 and 3,965.01

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Solution

The fourth proportional to 12,734.61, 19,098.63 and 3,965.01 is: 5,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.61 : 19,098.63 = 3,965.01 : x
  2. Step 2: Convert to fraction form
    12,734.61/19,098.63 = 3,965.01/x
  3. Step 3: Cross multiply
    12,734.61x = 19,098.63 × 3,965.01
  4. Step 4: Simplify right side
    12,734.61x = 75,726,258.94
  5. Step 5: Solve for x
    x = 75,726,258.94/12,734.61
  6. Step 6: Final answer
    x = 5,946.49

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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.