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Finding the Fourth Proportional to 23,193.84, 32,007.48 and 13,122.06

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Solution

The fourth proportional to 23,193.84, 32,007.48 and 13,122.06 is: 18,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.84 : 32,007.48 = 13,122.06 : x
  2. Step 2: Convert to fraction form
    23,193.84/32,007.48 = 13,122.06/x
  3. Step 3: Cross multiply
    23,193.84x = 32,007.48 × 13,122.06
  4. Step 4: Simplify right side
    23,193.84x = 420,004,073.01
  5. Step 5: Solve for x
    x = 420,004,073.01/23,193.84
  6. Step 6: Final answer
    x = 18,108.43

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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.