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Finding the Fourth Proportional to 23,193.68, 32,007.03 and 12,583.22

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Solution

The fourth proportional to 23,193.68, 32,007.03 and 12,583.22 is: 17,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.68 : 32,007.03 = 12,583.22 : x
  2. Step 2: Convert to fraction form
    23,193.68/32,007.03 = 12,583.22/x
  3. Step 3: Cross multiply
    23,193.68x = 32,007.03 × 12,583.22
  4. Step 4: Simplify right side
    23,193.68x = 402,751,500.04
  5. Step 5: Solve for x
    x = 402,751,500.04/23,193.68
  6. Step 6: Final answer
    x = 17,364.71

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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.