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Finding the Fourth Proportional to 12,721.84, 19,083.48 and 4,288.24

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Solution

The fourth proportional to 12,721.84, 19,083.48 and 4,288.24 is: 6,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.84 : 19,083.48 = 4,288.24 : x
  2. Step 2: Convert to fraction form
    12,721.84/19,083.48 = 4,288.24/x
  3. Step 3: Cross multiply
    12,721.84x = 19,083.48 × 4,288.24
  4. Step 4: Simplify right side
    12,721.84x = 81,834,542.28
  5. Step 5: Solve for x
    x = 81,834,542.28/12,721.84
  6. Step 6: Final answer
    x = 6,432.60

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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.