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Finding the Fourth Proportional to 17,257.17, 23,814.35 and 9,703.83

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Solution

The fourth proportional to 17,257.17, 23,814.35 and 9,703.83 is: 13,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.17 : 23,814.35 = 9,703.83 : x
  2. Step 2: Convert to fraction form
    17,257.17/23,814.35 = 9,703.83/x
  3. Step 3: Cross multiply
    17,257.17x = 23,814.35 × 9,703.83
  4. Step 4: Simplify right side
    17,257.17x = 231,090,355.44
  5. Step 5: Solve for x
    x = 231,090,355.44/17,257.17
  6. Step 6: Final answer
    x = 13,390.98

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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.