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Finding the Fourth Proportional to 20,232.78, 27,910.62 and 16,460.10

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Solution

The fourth proportional to 20,232.78, 27,910.62 and 16,460.10 is: 22,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.78 : 27,910.62 = 16,460.10 : x
  2. Step 2: Convert to fraction form
    20,232.78/27,910.62 = 16,460.10/x
  3. Step 3: Cross multiply
    20,232.78x = 27,910.62 × 16,460.10
  4. Step 4: Simplify right side
    20,232.78x = 459,411,596.26
  5. Step 5: Solve for x
    x = 459,411,596.26/20,232.78
  6. Step 6: Final answer
    x = 22,706.30

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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.