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Finding the Fourth Proportional to 17,826.31, 26,734.06 and 7,435.63

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Solution

The fourth proportional to 17,826.31, 26,734.06 and 7,435.63 is: 11,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.31 : 26,734.06 = 7,435.63 : x
  2. Step 2: Convert to fraction form
    17,826.31/26,734.06 = 7,435.63/x
  3. Step 3: Cross multiply
    17,826.31x = 26,734.06 × 7,435.63
  4. Step 4: Simplify right side
    17,826.31x = 198,784,407.71
  5. Step 5: Solve for x
    x = 198,784,407.71/17,826.31
  6. Step 6: Final answer
    x = 11,151.18

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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.