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Finding the Fourth Proportional to 23,203.10, 32,018.49 and 13,643.37

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Solution

The fourth proportional to 23,203.10, 32,018.49 and 13,643.37 is: 18,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.10 : 32,018.49 = 13,643.37 : x
  2. Step 2: Convert to fraction form
    23,203.10/32,018.49 = 13,643.37/x
  3. Step 3: Cross multiply
    23,203.10x = 32,018.49 × 13,643.37
  4. Step 4: Simplify right side
    23,203.10x = 436,840,105.91
  5. Step 5: Solve for x
    x = 436,840,105.91/23,203.10
  6. Step 6: Final answer
    x = 18,826.80

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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.