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Finding the Fourth Proportional to 25,833.80, 38,753.94 and 8,303.24

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Solution

The fourth proportional to 25,833.80, 38,753.94 and 8,303.24 is: 12,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833.80 : 38,753.94 = 8,303.24 : x
  2. Step 2: Convert to fraction form
    25,833.80/38,753.94 = 8,303.24/x
  3. Step 3: Cross multiply
    25,833.80x = 38,753.94 × 8,303.24
  4. Step 4: Simplify right side
    25,833.80x = 321,783,264.77
  5. Step 5: Solve for x
    x = 321,783,264.77/25,833.80
  6. Step 6: Final answer
    x = 12,455.90

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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.