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Finding the Fourth Proportional to 17,524.02, 26,280.55 and 5,834.50

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Solution

The fourth proportional to 17,524.02, 26,280.55 and 5,834.50 is: 8,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.02 : 26,280.55 = 5,834.50 : x
  2. Step 2: Convert to fraction form
    17,524.02/26,280.55 = 5,834.50/x
  3. Step 3: Cross multiply
    17,524.02x = 26,280.55 × 5,834.50
  4. Step 4: Simplify right side
    17,524.02x = 153,333,868.98
  5. Step 5: Solve for x
    x = 153,333,868.98/17,524.02
  6. Step 6: Final answer
    x = 8,749.93

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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.