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Finding the Fourth Proportional to 17,817.64, 26,714.16 and 7,817.59

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Solution

The fourth proportional to 17,817.64, 26,714.16 and 7,817.59 is: 11,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,817.64 : 26,714.16 = 7,817.59 : x
  2. Step 2: Convert to fraction form
    17,817.64/26,714.16 = 7,817.59/x
  3. Step 3: Cross multiply
    17,817.64x = 26,714.16 × 7,817.59
  4. Step 4: Simplify right side
    17,817.64x = 208,840,350.07
  5. Step 5: Solve for x
    x = 208,840,350.07/17,817.64
  6. Step 6: Final answer
    x = 11,720.99

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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.