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Finding the Fourth Proportional to 17,261.76, 25,888.90 and 6,169.22

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Solution

The fourth proportional to 17,261.76, 25,888.90 and 6,169.22 is: 9,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,261.76 : 25,888.90 = 6,169.22 : x
  2. Step 2: Convert to fraction form
    17,261.76/25,888.90 = 6,169.22/x
  3. Step 3: Cross multiply
    17,261.76x = 25,888.90 × 6,169.22
  4. Step 4: Simplify right side
    17,261.76x = 159,714,319.66
  5. Step 5: Solve for x
    x = 159,714,319.66/17,261.76
  6. Step 6: Final answer
    x = 9,252.49

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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.