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Finding the Fourth Proportional to 16,056.84, 22,154.81 and 10,086.33

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Solution

The fourth proportional to 16,056.84, 22,154.81 and 10,086.33 is: 13,916.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,056.84 : 22,154.81 = 10,086.33 : x
  2. Step 2: Convert to fraction form
    16,056.84/22,154.81 = 10,086.33/x
  3. Step 3: Cross multiply
    16,056.84x = 22,154.81 × 10,086.33
  4. Step 4: Simplify right side
    16,056.84x = 223,460,674.32
  5. Step 5: Solve for x
    x = 223,460,674.32/16,056.84
  6. Step 6: Final answer
    x = 13,916.85

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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.