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Finding the Fourth Proportional to 23,810.22, 35,711.82 and 6,281.28

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Solution

The fourth proportional to 23,810.22, 35,711.82 and 6,281.28 is: 9,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.22 : 35,711.82 = 6,281.28 : x
  2. Step 2: Convert to fraction form
    23,810.22/35,711.82 = 6,281.28/x
  3. Step 3: Cross multiply
    23,810.22x = 35,711.82 × 6,281.28
  4. Step 4: Simplify right side
    23,810.22x = 224,315,940.73
  5. Step 5: Solve for x
    x = 224,315,940.73/23,810.22
  6. Step 6: Final answer
    x = 9,420.99

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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.