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Finding the Fourth Proportional to 15,842.66, 21,861.37 and 9,467.98

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Solution

The fourth proportional to 15,842.66, 21,861.37 and 9,467.98 is: 13,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.66 : 21,861.37 = 9,467.98 : x
  2. Step 2: Convert to fraction form
    15,842.66/21,861.37 = 9,467.98/x
  3. Step 3: Cross multiply
    15,842.66x = 21,861.37 × 9,467.98
  4. Step 4: Simplify right side
    15,842.66x = 206,982,935.61
  5. Step 5: Solve for x
    x = 206,982,935.61/15,842.66
  6. Step 6: Final answer
    x = 13,064.91

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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.