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Finding the Fourth Proportional to 17,302.24, 23,872.14 and 9,745.92

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Solution

The fourth proportional to 17,302.24, 23,872.14 and 9,745.92 is: 13,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.24 : 23,872.14 = 9,745.92 : x
  2. Step 2: Convert to fraction form
    17,302.24/23,872.14 = 9,745.92/x
  3. Step 3: Cross multiply
    17,302.24x = 23,872.14 × 9,745.92
  4. Step 4: Simplify right side
    17,302.24x = 232,655,966.67
  5. Step 5: Solve for x
    x = 232,655,966.67/17,302.24
  6. Step 6: Final answer
    x = 13,446.58

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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.