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Finding the Fourth Proportional to 19,883.20, 29,804.64 and 6,731.20

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Solution

The fourth proportional to 19,883.20, 29,804.64 and 6,731.20 is: 10,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.20 : 29,804.64 = 6,731.20 : x
  2. Step 2: Convert to fraction form
    19,883.20/29,804.64 = 6,731.20/x
  3. Step 3: Cross multiply
    19,883.20x = 29,804.64 × 6,731.20
  4. Step 4: Simplify right side
    19,883.20x = 200,620,992.77
  5. Step 5: Solve for x
    x = 200,620,992.77/19,883.20
  6. Step 6: Final answer
    x = 10,089.98

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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.