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Finding the Fourth Proportional to 41,802.84, 62,705.22 and 10,213.17

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Solution

The fourth proportional to 41,802.84, 62,705.22 and 10,213.17 is: 15,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,802.84 : 62,705.22 = 10,213.17 : x
  2. Step 2: Convert to fraction form
    41,802.84/62,705.22 = 10,213.17/x
  3. Step 3: Cross multiply
    41,802.84x = 62,705.22 × 10,213.17
  4. Step 4: Simplify right side
    41,802.84x = 640,419,071.75
  5. Step 5: Solve for x
    x = 640,419,071.75/41,802.84
  6. Step 6: Final answer
    x = 15,319.99

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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.