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Finding the Fourth Proportional to 15,246.42, 22,853.22 and 9,964.81

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Solution

The fourth proportional to 15,246.42, 22,853.22 and 9,964.81 is: 14,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246.42 : 22,853.22 = 9,964.81 : x
  2. Step 2: Convert to fraction form
    15,246.42/22,853.22 = 9,964.81/x
  3. Step 3: Cross multiply
    15,246.42x = 22,853.22 × 9,964.81
  4. Step 4: Simplify right side
    15,246.42x = 227,727,995.19
  5. Step 5: Solve for x
    x = 227,727,995.19/15,246.42
  6. Step 6: Final answer
    x = 14,936.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.