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Finding the Fourth Proportional to 17,477.30, 26,164.41 and 11,543.30

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Solution

The fourth proportional to 17,477.30, 26,164.41 and 11,543.30 is: 17,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477.30 : 26,164.41 = 11,543.30 : x
  2. Step 2: Convert to fraction form
    17,477.30/26,164.41 = 11,543.30/x
  3. Step 3: Cross multiply
    17,477.30x = 26,164.41 × 11,543.30
  4. Step 4: Simplify right side
    17,477.30x = 302,023,633.95
  5. Step 5: Solve for x
    x = 302,023,633.95/17,477.30
  6. Step 6: Final answer
    x = 17,280.91

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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.