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Finding the Fourth Proportional to 12,965.19, 19,451.87 and 4,639.53

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Solution

The fourth proportional to 12,965.19, 19,451.87 and 4,639.53 is: 6,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.19 : 19,451.87 = 4,639.53 : x
  2. Step 2: Convert to fraction form
    12,965.19/19,451.87 = 4,639.53/x
  3. Step 3: Cross multiply
    12,965.19x = 19,451.87 × 4,639.53
  4. Step 4: Simplify right side
    12,965.19x = 90,247,511.22
  5. Step 5: Solve for x
    x = 90,247,511.22/12,965.19
  6. Step 6: Final answer
    x = 6,960.76

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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.