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Finding the Fourth Proportional to 17,164.36, 25,746.99 and 5,477.57

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Solution

The fourth proportional to 17,164.36, 25,746.99 and 5,477.57 is: 8,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.36 : 25,746.99 = 5,477.57 : x
  2. Step 2: Convert to fraction form
    17,164.36/25,746.99 = 5,477.57/x
  3. Step 3: Cross multiply
    17,164.36x = 25,746.99 × 5,477.57
  4. Step 4: Simplify right side
    17,164.36x = 141,030,940.01
  5. Step 5: Solve for x
    x = 141,030,940.01/17,164.36
  6. Step 6: Final answer
    x = 8,216.50

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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.