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Finding the Fourth Proportional to 14,620.60, 21,896.26 and 8,384

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Solution

The fourth proportional to 14,620.60, 21,896.26 and 8,384 is: 12,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,620.60 : 21,896.26 = 8,384 : x
  2. Step 2: Convert to fraction form
    14,620.60/21,896.26 = 8,384/x
  3. Step 3: Cross multiply
    14,620.60x = 21,896.26 × 8,384
  4. Step 4: Simplify right side
    14,620.60x = 183,578,243.84
  5. Step 5: Solve for x
    x = 183,578,243.84/14,620.60
  6. Step 6: Final answer
    x = 12,556.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.