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Finding the Fourth Proportional to 17,477.94, 26,221 and 5,791.16

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Solution

The fourth proportional to 17,477.94, 26,221 and 5,791.16 is: 8,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477.94 : 26,221 = 5,791.16 : x
  2. Step 2: Convert to fraction form
    17,477.94/26,221 = 5,791.16/x
  3. Step 3: Cross multiply
    17,477.94x = 26,221 × 5,791.16
  4. Step 4: Simplify right side
    17,477.94x = 151,850,006.36
  5. Step 5: Solve for x
    x = 151,850,006.36/17,477.94
  6. Step 6: Final answer
    x = 8,688.10

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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.