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Finding the Fourth Proportional to 17,102.10, 25,651.47 and 11,590.86

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Solution

The fourth proportional to 17,102.10, 25,651.47 and 11,590.86 is: 17,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.10 : 25,651.47 = 11,590.86 : x
  2. Step 2: Convert to fraction form
    17,102.10/25,651.47 = 11,590.86/x
  3. Step 3: Cross multiply
    17,102.10x = 25,651.47 × 11,590.86
  4. Step 4: Simplify right side
    17,102.10x = 297,322,597.56
  5. Step 5: Solve for x
    x = 297,322,597.56/17,102.10
  6. Step 6: Final answer
    x = 17,385.15

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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.