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Finding the Fourth Proportional to 14,305.66, 19,740.99 and 8,338.30

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Solution

The fourth proportional to 14,305.66, 19,740.99 and 8,338.30 is: 11,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.66 : 19,740.99 = 8,338.30 : x
  2. Step 2: Convert to fraction form
    14,305.66/19,740.99 = 8,338.30/x
  3. Step 3: Cross multiply
    14,305.66x = 19,740.99 × 8,338.30
  4. Step 4: Simplify right side
    14,305.66x = 164,606,296.92
  5. Step 5: Solve for x
    x = 164,606,296.92/14,305.66
  6. Step 6: Final answer
    x = 11,506.38

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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.