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Finding the Fourth Proportional to 10,833.76, 16,178.32 and 10,280.22

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Solution

The fourth proportional to 10,833.76, 16,178.32 and 10,280.22 is: 15,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.76 : 16,178.32 = 10,280.22 : x
  2. Step 2: Convert to fraction form
    10,833.76/16,178.32 = 10,280.22/x
  3. Step 3: Cross multiply
    10,833.76x = 16,178.32 × 10,280.22
  4. Step 4: Simplify right side
    10,833.76x = 166,316,688.83
  5. Step 5: Solve for x
    x = 166,316,688.83/10,833.76
  6. Step 6: Final answer
    x = 15,351.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.