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Finding the Fourth Proportional to 23,797.86, 35,718.93 and 12,119.82

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Solution

The fourth proportional to 23,797.86, 35,718.93 and 12,119.82 is: 18,191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.86 : 35,718.93 = 12,119.82 : x
  2. Step 2: Convert to fraction form
    23,797.86/35,718.93 = 12,119.82/x
  3. Step 3: Cross multiply
    23,797.86x = 35,718.93 × 12,119.82
  4. Step 4: Simplify right side
    23,797.86x = 432,907,002.19
  5. Step 5: Solve for x
    x = 432,907,002.19/23,797.86
  6. Step 6: Final answer
    x = 18,191.01

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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.