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Finding the Fourth Proportional to 17,707.31, 24,435.61 and 9,749.58

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Solution

The fourth proportional to 17,707.31, 24,435.61 and 9,749.58 is: 13,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.31 : 24,435.61 = 9,749.58 : x
  2. Step 2: Convert to fraction form
    17,707.31/24,435.61 = 9,749.58/x
  3. Step 3: Cross multiply
    17,707.31x = 24,435.61 × 9,749.58
  4. Step 4: Simplify right side
    17,707.31x = 238,236,910.17
  5. Step 5: Solve for x
    x = 238,236,910.17/17,707.31
  6. Step 6: Final answer
    x = 13,454.15

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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.