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Finding the Fourth Proportional to 29,838.53, 41,165.51 and 17,084.90

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Solution

The fourth proportional to 29,838.53, 41,165.51 and 17,084.90 is: 23,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.53 : 41,165.51 = 17,084.90 : x
  2. Step 2: Convert to fraction form
    29,838.53/41,165.51 = 17,084.90/x
  3. Step 3: Cross multiply
    29,838.53x = 41,165.51 × 17,084.90
  4. Step 4: Simplify right side
    29,838.53x = 703,308,621.80
  5. Step 5: Solve for x
    x = 703,308,621.80/29,838.53
  6. Step 6: Final answer
    x = 23,570.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.