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Finding the Fourth Proportional to 23,810.74, 35,713.22 and 6,281.90

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Solution

The fourth proportional to 23,810.74, 35,713.22 and 6,281.90 is: 9,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.74 : 35,713.22 = 6,281.90 : x
  2. Step 2: Convert to fraction form
    23,810.74/35,713.22 = 6,281.90/x
  3. Step 3: Cross multiply
    23,810.74x = 35,713.22 × 6,281.90
  4. Step 4: Simplify right side
    23,810.74x = 224,346,876.72
  5. Step 5: Solve for x
    x = 224,346,876.72/23,810.74
  6. Step 6: Final answer
    x = 9,422.09

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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.