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Finding the Fourth Proportional to 13,210.71, 18,232.64 and 8,176.54

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Solution

The fourth proportional to 13,210.71, 18,232.64 and 8,176.54 is: 11,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.71 : 18,232.64 = 8,176.54 : x
  2. Step 2: Convert to fraction form
    13,210.71/18,232.64 = 8,176.54/x
  3. Step 3: Cross multiply
    13,210.71x = 18,232.64 × 8,176.54
  4. Step 4: Simplify right side
    13,210.71x = 149,079,869.38
  5. Step 5: Solve for x
    x = 149,079,869.38/13,210.71
  6. Step 6: Final answer
    x = 11,284.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.