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Finding the Fourth Proportional to 23,314.50, 34,972.02 and 5,784.48

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Solution

The fourth proportional to 23,314.50, 34,972.02 and 5,784.48 is: 8,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.50 : 34,972.02 = 5,784.48 : x
  2. Step 2: Convert to fraction form
    23,314.50/34,972.02 = 5,784.48/x
  3. Step 3: Cross multiply
    23,314.50x = 34,972.02 × 5,784.48
  4. Step 4: Simplify right side
    23,314.50x = 202,294,950.25
  5. Step 5: Solve for x
    x = 202,294,950.25/23,314.50
  6. Step 6: Final answer
    x = 8,676.79

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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.