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Finding the Fourth Proportional to 23,477.37, 32,398.77 and 12,866.97

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Solution

The fourth proportional to 23,477.37, 32,398.77 and 12,866.97 is: 17,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.37 : 32,398.77 = 12,866.97 : x
  2. Step 2: Convert to fraction form
    23,477.37/32,398.77 = 12,866.97/x
  3. Step 3: Cross multiply
    23,477.37x = 32,398.77 × 12,866.97
  4. Step 4: Simplify right side
    23,477.37x = 416,874,001.63
  5. Step 5: Solve for x
    x = 416,874,001.63/23,477.37
  6. Step 6: Final answer
    x = 17,756.42

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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.