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Finding the Fourth Proportional to 23,578.37, 32,538.28 and 12,823.37

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Solution

The fourth proportional to 23,578.37, 32,538.28 and 12,823.37 is: 17,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.37 : 32,538.28 = 12,823.37 : x
  2. Step 2: Convert to fraction form
    23,578.37/32,538.28 = 12,823.37/x
  3. Step 3: Cross multiply
    23,578.37x = 32,538.28 × 12,823.37
  4. Step 4: Simplify right side
    23,578.37x = 417,250,208.85
  5. Step 5: Solve for x
    x = 417,250,208.85/23,578.37
  6. Step 6: Final answer
    x = 17,696.32

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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.