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Finding the Fourth Proportional to 17,189.19, 25,734.54 and 10,570.77

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Solution

The fourth proportional to 17,189.19, 25,734.54 and 10,570.77 is: 15,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.19 : 25,734.54 = 10,570.77 : x
  2. Step 2: Convert to fraction form
    17,189.19/25,734.54 = 10,570.77/x
  3. Step 3: Cross multiply
    17,189.19x = 25,734.54 × 10,570.77
  4. Step 4: Simplify right side
    17,189.19x = 272,033,903.40
  5. Step 5: Solve for x
    x = 272,033,903.40/17,189.19
  6. Step 6: Final answer
    x = 15,825.87

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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.