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Finding the Fourth Proportional to 23,813.75, 35,712.96 and 8,014.50

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Solution

The fourth proportional to 23,813.75, 35,712.96 and 8,014.50 is: 12,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.75 : 35,712.96 = 8,014.50 : x
  2. Step 2: Convert to fraction form
    23,813.75/35,712.96 = 8,014.50/x
  3. Step 3: Cross multiply
    23,813.75x = 35,712.96 × 8,014.50
  4. Step 4: Simplify right side
    23,813.75x = 286,221,517.92
  5. Step 5: Solve for x
    x = 286,221,517.92/23,813.75
  6. Step 6: Final answer
    x = 12,019.17

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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.