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Finding the Fourth Proportional to 14,468.83, 19,960.36 and 8,500.39

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Solution

The fourth proportional to 14,468.83, 19,960.36 and 8,500.39 is: 11,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.83 : 19,960.36 = 8,500.39 : x
  2. Step 2: Convert to fraction form
    14,468.83/19,960.36 = 8,500.39/x
  3. Step 3: Cross multiply
    14,468.83x = 19,960.36 × 8,500.39
  4. Step 4: Simplify right side
    14,468.83x = 169,670,844.54
  5. Step 5: Solve for x
    x = 169,670,844.54/14,468.83
  6. Step 6: Final answer
    x = 11,726.65

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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.