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Finding the Fourth Proportional to 13,981.98, 20,965.38 and 6,946.56

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Solution

The fourth proportional to 13,981.98, 20,965.38 and 6,946.56 is: 10,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.98 : 20,965.38 = 6,946.56 : x
  2. Step 2: Convert to fraction form
    13,981.98/20,965.38 = 6,946.56/x
  3. Step 3: Cross multiply
    13,981.98x = 20,965.38 × 6,946.56
  4. Step 4: Simplify right side
    13,981.98x = 145,637,270.09
  5. Step 5: Solve for x
    x = 145,637,270.09/13,981.98
  6. Step 6: Final answer
    x = 10,416.07

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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.