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Finding the Fourth Proportional to 23,647.90, 35,471.84 and 8,065.66

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Solution

The fourth proportional to 23,647.90, 35,471.84 and 8,065.66 is: 12,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.90 : 35,471.84 = 8,065.66 : x
  2. Step 2: Convert to fraction form
    23,647.90/35,471.84 = 8,065.66/x
  3. Step 3: Cross multiply
    23,647.90x = 35,471.84 × 8,065.66
  4. Step 4: Simplify right side
    23,647.90x = 286,103,801.01
  5. Step 5: Solve for x
    x = 286,103,801.01/23,647.90
  6. Step 6: Final answer
    x = 12,098.49

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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.