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Finding the Fourth Proportional to 22,097.49, 30,492.27 and 13,600.14

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Solution

The fourth proportional to 22,097.49, 30,492.27 and 13,600.14 is: 18,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.49 : 30,492.27 = 13,600.14 : x
  2. Step 2: Convert to fraction form
    22,097.49/30,492.27 = 13,600.14/x
  3. Step 3: Cross multiply
    22,097.49x = 30,492.27 × 13,600.14
  4. Step 4: Simplify right side
    22,097.49x = 414,699,140.92
  5. Step 5: Solve for x
    x = 414,699,140.92/22,097.49
  6. Step 6: Final answer
    x = 18,766.80

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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.