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Finding the Fourth Proportional to 13,310.77, 19,924.62 and 9,804.73

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Solution

The fourth proportional to 13,310.77, 19,924.62 and 9,804.73 is: 14,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.77 : 19,924.62 = 9,804.73 : x
  2. Step 2: Convert to fraction form
    13,310.77/19,924.62 = 9,804.73/x
  3. Step 3: Cross multiply
    13,310.77x = 19,924.62 × 9,804.73
  4. Step 4: Simplify right side
    13,310.77x = 195,355,519.45
  5. Step 5: Solve for x
    x = 195,355,519.45/13,310.77
  6. Step 6: Final answer
    x = 14,676.50

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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.