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Finding the Fourth Proportional to 23,657.50, 32,645.99 and 14,108.21

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Solution

The fourth proportional to 23,657.50, 32,645.99 and 14,108.21 is: 19,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.50 : 32,645.99 = 14,108.21 : x
  2. Step 2: Convert to fraction form
    23,657.50/32,645.99 = 14,108.21/x
  3. Step 3: Cross multiply
    23,657.50x = 32,645.99 × 14,108.21
  4. Step 4: Simplify right side
    23,657.50x = 460,576,397.68
  5. Step 5: Solve for x
    x = 460,576,397.68/23,657.50
  6. Step 6: Final answer
    x = 19,468.51

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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.