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Finding the Fourth Proportional to 19,969.77, 29,923.87 and 9,826.51

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Solution

The fourth proportional to 19,969.77, 29,923.87 and 9,826.51 is: 14,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.77 : 29,923.87 = 9,826.51 : x
  2. Step 2: Convert to fraction form
    19,969.77/29,923.87 = 9,826.51/x
  3. Step 3: Cross multiply
    19,969.77x = 29,923.87 × 9,826.51
  4. Step 4: Simplify right side
    19,969.77x = 294,047,084.97
  5. Step 5: Solve for x
    x = 294,047,084.97/19,969.77
  6. Step 6: Final answer
    x = 14,724.61

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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.