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Finding the Fourth Proportional to 11,699.66, 17,556.81 and 4,678.63

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Solution

The fourth proportional to 11,699.66, 17,556.81 and 4,678.63 is: 7,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.66 : 17,556.81 = 4,678.63 : x
  2. Step 2: Convert to fraction form
    11,699.66/17,556.81 = 4,678.63/x
  3. Step 3: Cross multiply
    11,699.66x = 17,556.81 × 4,678.63
  4. Step 4: Simplify right side
    11,699.66x = 82,141,730.19
  5. Step 5: Solve for x
    x = 82,141,730.19/11,699.66
  6. Step 6: Final answer
    x = 7,020.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.