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Finding the Fourth Proportional to 23,860.37, 35,784.65 and 8,065.05

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Solution

The fourth proportional to 23,860.37, 35,784.65 and 8,065.05 is: 12,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,860.37 : 35,784.65 = 8,065.05 : x
  2. Step 2: Convert to fraction form
    23,860.37/35,784.65 = 8,065.05/x
  3. Step 3: Cross multiply
    23,860.37x = 35,784.65 × 8,065.05
  4. Step 4: Simplify right side
    23,860.37x = 288,605,060.78
  5. Step 5: Solve for x
    x = 288,605,060.78/23,860.37
  6. Step 6: Final answer
    x = 12,095.58

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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.