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Finding the Fourth Proportional to 17,471.28, 26,211.02 and 5,784.50

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Solution

The fourth proportional to 17,471.28, 26,211.02 and 5,784.50 is: 8,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.28 : 26,211.02 = 5,784.50 : x
  2. Step 2: Convert to fraction form
    17,471.28/26,211.02 = 5,784.50/x
  3. Step 3: Cross multiply
    17,471.28x = 26,211.02 × 5,784.50
  4. Step 4: Simplify right side
    17,471.28x = 151,617,645.19
  5. Step 5: Solve for x
    x = 151,617,645.19/17,471.28
  6. Step 6: Final answer
    x = 8,678.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.