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Finding the Fourth Proportional to 23,871.86, 35,807.90 and 8,077.02

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Solution

The fourth proportional to 23,871.86, 35,807.90 and 8,077.02 is: 12,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.86 : 35,807.90 = 8,077.02 : x
  2. Step 2: Convert to fraction form
    23,871.86/35,807.90 = 8,077.02/x
  3. Step 3: Cross multiply
    23,871.86x = 35,807.90 × 8,077.02
  4. Step 4: Simplify right side
    23,871.86x = 289,221,124.46
  5. Step 5: Solve for x
    x = 289,221,124.46/23,871.86
  6. Step 6: Final answer
    x = 12,115.57

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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.