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Finding the Fourth Proportional to 21,724.67, 29,980.50 and 12,293.24

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Solution

The fourth proportional to 21,724.67, 29,980.50 and 12,293.24 is: 16,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.67 : 29,980.50 = 12,293.24 : x
  2. Step 2: Convert to fraction form
    21,724.67/29,980.50 = 12,293.24/x
  3. Step 3: Cross multiply
    21,724.67x = 29,980.50 × 12,293.24
  4. Step 4: Simplify right side
    21,724.67x = 368,557,331.92
  5. Step 5: Solve for x
    x = 368,557,331.92/21,724.67
  6. Step 6: Final answer
    x = 16,964.93

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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.