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Finding the Fourth Proportional to 18,356.50, 25,331.97 and 9,973

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Solution

The fourth proportional to 18,356.50, 25,331.97 and 9,973 is: 13,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,356.50 : 25,331.97 = 9,973 : x
  2. Step 2: Convert to fraction form
    18,356.50/25,331.97 = 9,973/x
  3. Step 3: Cross multiply
    18,356.50x = 25,331.97 × 9,973
  4. Step 4: Simplify right side
    18,356.50x = 252,635,736.81
  5. Step 5: Solve for x
    x = 252,635,736.81/18,356.50
  6. Step 6: Final answer
    x = 13,762.74

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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.