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Finding the Fourth Proportional to 13,083.84, 19,625.52 and 3,223.17

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Solution

The fourth proportional to 13,083.84, 19,625.52 and 3,223.17 is: 4,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.84 : 19,625.52 = 3,223.17 : x
  2. Step 2: Convert to fraction form
    13,083.84/19,625.52 = 3,223.17/x
  3. Step 3: Cross multiply
    13,083.84x = 19,625.52 × 3,223.17
  4. Step 4: Simplify right side
    13,083.84x = 63,256,387.30
  5. Step 5: Solve for x
    x = 63,256,387.30/13,083.84
  6. Step 6: Final answer
    x = 4,834.70

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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.