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Finding the Fourth Proportional to 17,533.42, 26,300.22 and 5,846.61

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Solution

The fourth proportional to 17,533.42, 26,300.22 and 5,846.61 is: 8,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.42 : 26,300.22 = 5,846.61 : x
  2. Step 2: Convert to fraction form
    17,533.42/26,300.22 = 5,846.61/x
  3. Step 3: Cross multiply
    17,533.42x = 26,300.22 × 5,846.61
  4. Step 4: Simplify right side
    17,533.42x = 153,767,129.25
  5. Step 5: Solve for x
    x = 153,767,129.25/17,533.42
  6. Step 6: Final answer
    x = 8,769.95

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