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Finding the Fourth Proportional to 24,231.81, 33,434.95 and 14,158.30

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Solution

The fourth proportional to 24,231.81, 33,434.95 and 14,158.30 is: 19,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.81 : 33,434.95 = 14,158.30 : x
  2. Step 2: Convert to fraction form
    24,231.81/33,434.95 = 14,158.30/x
  3. Step 3: Cross multiply
    24,231.81x = 33,434.95 × 14,158.30
  4. Step 4: Simplify right side
    24,231.81x = 473,382,096.96
  5. Step 5: Solve for x
    x = 473,382,096.96/24,231.81
  6. Step 6: Final answer
    x = 19,535.57

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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.