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Finding the Fourth Proportional to 12,937.84, 19,418.28 and 6,016.24

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Solution

The fourth proportional to 12,937.84, 19,418.28 and 6,016.24 is: 9,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.84 : 19,418.28 = 6,016.24 : x
  2. Step 2: Convert to fraction form
    12,937.84/19,418.28 = 6,016.24/x
  3. Step 3: Cross multiply
    12,937.84x = 19,418.28 × 6,016.24
  4. Step 4: Simplify right side
    12,937.84x = 116,825,032.87
  5. Step 5: Solve for x
    x = 116,825,032.87/12,937.84
  6. Step 6: Final answer
    x = 9,029.72

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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.