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Finding the Fourth Proportional to 12,689, 19,041.18 and 5,293.16

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Solution

The fourth proportional to 12,689, 19,041.18 and 5,293.16 is: 7,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689 : 19,041.18 = 5,293.16 : x
  2. Step 2: Convert to fraction form
    12,689/19,041.18 = 5,293.16/x
  3. Step 3: Cross multiply
    12,689x = 19,041.18 × 5,293.16
  4. Step 4: Simplify right side
    12,689x = 100,788,012.33
  5. Step 5: Solve for x
    x = 100,788,012.33/12,689
  6. Step 6: Final answer
    x = 7,942.94

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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.