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Finding the Fourth Proportional to 19,826.68, 29,749.71 and 8,731.99

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Solution

The fourth proportional to 19,826.68, 29,749.71 and 8,731.99 is: 13,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.68 : 29,749.71 = 8,731.99 : x
  2. Step 2: Convert to fraction form
    19,826.68/29,749.71 = 8,731.99/x
  3. Step 3: Cross multiply
    19,826.68x = 29,749.71 × 8,731.99
  4. Step 4: Simplify right side
    19,826.68x = 259,774,170.22
  5. Step 5: Solve for x
    x = 259,774,170.22/19,826.68
  6. Step 6: Final answer
    x = 13,102.25

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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.