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Finding the Fourth Proportional to 23,893.36, 32,974.83 and 13,283.98

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Solution

The fourth proportional to 23,893.36, 32,974.83 and 13,283.98 is: 18,332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.36 : 32,974.83 = 13,283.98 : x
  2. Step 2: Convert to fraction form
    23,893.36/32,974.83 = 13,283.98/x
  3. Step 3: Cross multiply
    23,893.36x = 32,974.83 × 13,283.98
  4. Step 4: Simplify right side
    23,893.36x = 438,036,750.93
  5. Step 5: Solve for x
    x = 438,036,750.93/23,893.36
  6. Step 6: Final answer
    x = 18,332.99

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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.