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Finding the Fourth Proportional to 14,232.86, 19,641.24 and 7,859.84

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Solution

The fourth proportional to 14,232.86, 19,641.24 and 7,859.84 is: 10,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.86 : 19,641.24 = 7,859.84 : x
  2. Step 2: Convert to fraction form
    14,232.86/19,641.24 = 7,859.84/x
  3. Step 3: Cross multiply
    14,232.86x = 19,641.24 × 7,859.84
  4. Step 4: Simplify right side
    14,232.86x = 154,377,052.90
  5. Step 5: Solve for x
    x = 154,377,052.90/14,232.86
  6. Step 6: Final answer
    x = 10,846.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.