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Finding the Fourth Proportional to 16,853.30, 23,262.18 and 9,782

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Solution

The fourth proportional to 16,853.30, 23,262.18 and 9,782 is: 13,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.30 : 23,262.18 = 9,782 : x
  2. Step 2: Convert to fraction form
    16,853.30/23,262.18 = 9,782/x
  3. Step 3: Cross multiply
    16,853.30x = 23,262.18 × 9,782
  4. Step 4: Simplify right side
    16,853.30x = 227,550,644.76
  5. Step 5: Solve for x
    x = 227,550,644.76/16,853.30
  6. Step 6: Final answer
    x = 13,501.85

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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.