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Finding the Fourth Proportional to 11,628.81, 16,035.57 and 9,955.76

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Solution

The fourth proportional to 11,628.81, 16,035.57 and 9,955.76 is: 13,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.81 : 16,035.57 = 9,955.76 : x
  2. Step 2: Convert to fraction form
    11,628.81/16,035.57 = 9,955.76/x
  3. Step 3: Cross multiply
    11,628.81x = 16,035.57 × 9,955.76
  4. Step 4: Simplify right side
    11,628.81x = 159,646,206.21
  5. Step 5: Solve for x
    x = 159,646,206.21/11,628.81
  6. Step 6: Final answer
    x = 13,728.51

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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.