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Finding the Fourth Proportional to 22,633.54, 31,232.83 and 12,561.99

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Solution

The fourth proportional to 22,633.54, 31,232.83 and 12,561.99 is: 17,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.54 : 31,232.83 = 12,561.99 : x
  2. Step 2: Convert to fraction form
    22,633.54/31,232.83 = 12,561.99/x
  3. Step 3: Cross multiply
    22,633.54x = 31,232.83 × 12,561.99
  4. Step 4: Simplify right side
    22,633.54x = 392,346,498.13
  5. Step 5: Solve for x
    x = 392,346,498.13/22,633.54
  6. Step 6: Final answer
    x = 17,334.74

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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.