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Finding the Fourth Proportional to 13,727.84, 18,944.15 and 9,011.81

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Solution

The fourth proportional to 13,727.84, 18,944.15 and 9,011.81 is: 12,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.84 : 18,944.15 = 9,011.81 : x
  2. Step 2: Convert to fraction form
    13,727.84/18,944.15 = 9,011.81/x
  3. Step 3: Cross multiply
    13,727.84x = 18,944.15 × 9,011.81
  4. Step 4: Simplify right side
    13,727.84x = 170,721,082.71
  5. Step 5: Solve for x
    x = 170,721,082.71/13,727.84
  6. Step 6: Final answer
    x = 12,436.13

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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.