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Finding the Fourth Proportional to 17,189.81, 25,746.20 and 14,939.81

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Solution

The fourth proportional to 17,189.81, 25,746.20 and 14,939.81 is: 22,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.81 : 25,746.20 = 14,939.81 : x
  2. Step 2: Convert to fraction form
    17,189.81/25,746.20 = 14,939.81/x
  3. Step 3: Cross multiply
    17,189.81x = 25,746.20 × 14,939.81
  4. Step 4: Simplify right side
    17,189.81x = 384,643,261.52
  5. Step 5: Solve for x
    x = 384,643,261.52/17,189.81
  6. Step 6: Final answer
    x = 22,376.24

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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.