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Finding the Fourth Proportional to 23,433.78, 32,338.50 and 12,823.32

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Solution

The fourth proportional to 23,433.78, 32,338.50 and 12,823.32 is: 17,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433.78 : 32,338.50 = 12,823.32 : x
  2. Step 2: Convert to fraction form
    23,433.78/32,338.50 = 12,823.32/x
  3. Step 3: Cross multiply
    23,433.78x = 32,338.50 × 12,823.32
  4. Step 4: Simplify right side
    23,433.78x = 414,686,933.82
  5. Step 5: Solve for x
    x = 414,686,933.82/23,433.78
  6. Step 6: Final answer
    x = 17,696.12

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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.