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Finding the Fourth Proportional to 29,724.65, 41,020.80 and 16,802.90

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Solution

The fourth proportional to 29,724.65, 41,020.80 and 16,802.90 is: 23,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724.65 : 41,020.80 = 16,802.90 : x
  2. Step 2: Convert to fraction form
    29,724.65/41,020.80 = 16,802.90/x
  3. Step 3: Cross multiply
    29,724.65x = 41,020.80 × 16,802.90
  4. Step 4: Simplify right side
    29,724.65x = 689,268,400.32
  5. Step 5: Solve for x
    x = 689,268,400.32/29,724.65
  6. Step 6: Final answer
    x = 23,188.44

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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.