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Finding the Fourth Proportional to 23,310.75, 34,969.56 and 7,510.50

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Solution

The fourth proportional to 23,310.75, 34,969.56 and 7,510.50 is: 11,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,310.75 : 34,969.56 = 7,510.50 : x
  2. Step 2: Convert to fraction form
    23,310.75/34,969.56 = 7,510.50/x
  3. Step 3: Cross multiply
    23,310.75x = 34,969.56 × 7,510.50
  4. Step 4: Simplify right side
    23,310.75x = 262,638,880.38
  5. Step 5: Solve for x
    x = 262,638,880.38/23,310.75
  6. Step 6: Final answer
    x = 11,266.86

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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.