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Finding the Fourth Proportional to 17,610.17, 24,302.85 and 9,653

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Solution

The fourth proportional to 17,610.17, 24,302.85 and 9,653 is: 13,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,610.17 : 24,302.85 = 9,653 : x
  2. Step 2: Convert to fraction form
    17,610.17/24,302.85 = 9,653/x
  3. Step 3: Cross multiply
    17,610.17x = 24,302.85 × 9,653
  4. Step 4: Simplify right side
    17,610.17x = 234,595,411.05
  5. Step 5: Solve for x
    x = 234,595,411.05/17,610.17
  6. Step 6: Final answer
    x = 13,321.59

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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.