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Finding the Fourth Proportional to 13,083.84, 19,634.08 and 4,763.04

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Solution

The fourth proportional to 13,083.84, 19,634.08 and 4,763.04 is: 7,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.84 : 19,634.08 = 4,763.04 : x
  2. Step 2: Convert to fraction form
    13,083.84/19,634.08 = 4,763.04/x
  3. Step 3: Cross multiply
    13,083.84x = 19,634.08 × 4,763.04
  4. Step 4: Simplify right side
    13,083.84x = 93,517,908.40
  5. Step 5: Solve for x
    x = 93,517,908.40/13,083.84
  6. Step 6: Final answer
    x = 7,147.59

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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.