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Finding the Fourth Proportional to 16,505.76, 22,769.47 and 10,839.69

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Solution

The fourth proportional to 16,505.76, 22,769.47 and 10,839.69 is: 14,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.76 : 22,769.47 = 10,839.69 : x
  2. Step 2: Convert to fraction form
    16,505.76/22,769.47 = 10,839.69/x
  3. Step 3: Cross multiply
    16,505.76x = 22,769.47 × 10,839.69
  4. Step 4: Simplify right side
    16,505.76x = 246,813,996.26
  5. Step 5: Solve for x
    x = 246,813,996.26/16,505.76
  6. Step 6: Final answer
    x = 14,953.20

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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.