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Finding the Fourth Proportional to 23,102.64, 34,633.91 and 14,318.19

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Solution

The fourth proportional to 23,102.64, 34,633.91 and 14,318.19 is: 21,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.64 : 34,633.91 = 14,318.19 : x
  2. Step 2: Convert to fraction form
    23,102.64/34,633.91 = 14,318.19/x
  3. Step 3: Cross multiply
    23,102.64x = 34,633.91 × 14,318.19
  4. Step 4: Simplify right side
    23,102.64x = 495,894,939.62
  5. Step 5: Solve for x
    x = 495,894,939.62/23,102.64
  6. Step 6: Final answer
    x = 21,464.86

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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.