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Finding the Fourth Proportional to 23,805.86, 35,710.25 and 8,009.57

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Solution

The fourth proportional to 23,805.86, 35,710.25 and 8,009.57 is: 12,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.86 : 35,710.25 = 8,009.57 : x
  2. Step 2: Convert to fraction form
    23,805.86/35,710.25 = 8,009.57/x
  3. Step 3: Cross multiply
    23,805.86x = 35,710.25 × 8,009.57
  4. Step 4: Simplify right side
    23,805.86x = 286,023,571.30
  5. Step 5: Solve for x
    x = 286,023,571.30/23,805.86
  6. Step 6: Final answer
    x = 12,014.84

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1.5x scale

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.