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Finding the Fourth Proportional to 12,706.68, 19,053.52 and 5,309.12

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Solution

The fourth proportional to 12,706.68, 19,053.52 and 5,309.12 is: 7,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.68 : 19,053.52 = 5,309.12 : x
  2. Step 2: Convert to fraction form
    12,706.68/19,053.52 = 5,309.12/x
  3. Step 3: Cross multiply
    12,706.68x = 19,053.52 × 5,309.12
  4. Step 4: Simplify right side
    12,706.68x = 101,157,424.10
  5. Step 5: Solve for x
    x = 101,157,424.10/12,706.68
  6. Step 6: Final answer
    x = 7,960.96

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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.