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Finding the Fourth Proportional to 17,267.06, 23,828.82 and 9,714.98

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Solution

The fourth proportional to 17,267.06, 23,828.82 and 9,714.98 is: 13,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.06 : 23,828.82 = 9,714.98 : x
  2. Step 2: Convert to fraction form
    17,267.06/23,828.82 = 9,714.98/x
  3. Step 3: Cross multiply
    17,267.06x = 23,828.82 × 9,714.98
  4. Step 4: Simplify right side
    17,267.06x = 231,496,509.72
  5. Step 5: Solve for x
    x = 231,496,509.72/17,267.06
  6. Step 6: Final answer
    x = 13,406.83

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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.