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Finding the Fourth Proportional to 13,732.84, 20,603.10 and 3,872.17

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Solution

The fourth proportional to 13,732.84, 20,603.10 and 3,872.17 is: 5,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.84 : 20,603.10 = 3,872.17 : x
  2. Step 2: Convert to fraction form
    13,732.84/20,603.10 = 3,872.17/x
  3. Step 3: Cross multiply
    13,732.84x = 20,603.10 × 3,872.17
  4. Step 4: Simplify right side
    13,732.84x = 79,778,602.71
  5. Step 5: Solve for x
    x = 79,778,602.71/13,732.84
  6. Step 6: Final answer
    x = 5,809.33

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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.