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Finding the Fourth Proportional to 21,727.50, 29,983.95 and 12,296.07

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Solution

The fourth proportional to 21,727.50, 29,983.95 and 12,296.07 is: 16,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,727.50 : 29,983.95 = 12,296.07 : x
  2. Step 2: Convert to fraction form
    21,727.50/29,983.95 = 12,296.07/x
  3. Step 3: Cross multiply
    21,727.50x = 29,983.95 × 12,296.07
  4. Step 4: Simplify right side
    21,727.50x = 368,684,748.08
  5. Step 5: Solve for x
    x = 368,684,748.08/21,727.50
  6. Step 6: Final answer
    x = 16,968.58

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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.