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Finding the Fourth Proportional to 14,233.15, 19,641.64 and 7,859.74

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Solution

The fourth proportional to 14,233.15, 19,641.64 and 7,859.74 is: 10,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.15 : 19,641.64 = 7,859.74 : x
  2. Step 2: Convert to fraction form
    14,233.15/19,641.64 = 7,859.74/x
  3. Step 3: Cross multiply
    14,233.15x = 19,641.64 × 7,859.74
  4. Step 4: Simplify right side
    14,233.15x = 154,378,183.57
  5. Step 5: Solve for x
    x = 154,378,183.57/14,233.15
  6. Step 6: Final answer
    x = 10,846.38

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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.