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Finding the Fourth Proportional to 23,433.59, 32,338.35 and 12,823.22

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Solution

The fourth proportional to 23,433.59, 32,338.35 and 12,823.22 is: 17,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433.59 : 32,338.35 = 12,823.22 : x
  2. Step 2: Convert to fraction form
    23,433.59/32,338.35 = 12,823.22/x
  3. Step 3: Cross multiply
    23,433.59x = 32,338.35 × 12,823.22
  4. Step 4: Simplify right side
    23,433.59x = 414,681,736.06
  5. Step 5: Solve for x
    x = 414,681,736.06/23,433.59
  6. Step 6: Final answer
    x = 17,696.04

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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.