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Finding the Fourth Proportional to 16,976.64, 23,424.04 and 10,262.14

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Solution

The fourth proportional to 16,976.64, 23,424.04 and 10,262.14 is: 14,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976.64 : 23,424.04 = 10,262.14 : x
  2. Step 2: Convert to fraction form
    16,976.64/23,424.04 = 10,262.14/x
  3. Step 3: Cross multiply
    16,976.64x = 23,424.04 × 10,262.14
  4. Step 4: Simplify right side
    16,976.64x = 240,380,777.85
  5. Step 5: Solve for x
    x = 240,380,777.85/16,976.64
  6. Step 6: Final answer
    x = 14,159.50

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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.