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Finding the Fourth Proportional to 17,189.70, 25,784.55 and 13,301.70

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Solution

The fourth proportional to 17,189.70, 25,784.55 and 13,301.70 is: 19,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.70 : 25,784.55 = 13,301.70 : x
  2. Step 2: Convert to fraction form
    17,189.70/25,784.55 = 13,301.70/x
  3. Step 3: Cross multiply
    17,189.70x = 25,784.55 × 13,301.70
  4. Step 4: Simplify right side
    17,189.70x = 342,978,348.74
  5. Step 5: Solve for x
    x = 342,978,348.74/17,189.70
  6. Step 6: Final answer
    x = 19,952.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.