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Finding the Fourth Proportional to 23,217.64, 32,038.20 and 13,147

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Solution

The fourth proportional to 23,217.64, 32,038.20 and 13,147 is: 18,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.64 : 32,038.20 = 13,147 : x
  2. Step 2: Convert to fraction form
    23,217.64/32,038.20 = 13,147/x
  3. Step 3: Cross multiply
    23,217.64x = 32,038.20 × 13,147
  4. Step 4: Simplify right side
    23,217.64x = 421,206,215.40
  5. Step 5: Solve for x
    x = 421,206,215.40/23,217.64
  6. Step 6: Final answer
    x = 18,141.65

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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.