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Finding the Fourth Proportional to 17,097.66, 23,559.74 and 12,614.30

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Solution

The fourth proportional to 17,097.66, 23,559.74 and 12,614.30 is: 17,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.66 : 23,559.74 = 12,614.30 : x
  2. Step 2: Convert to fraction form
    17,097.66/23,559.74 = 12,614.30/x
  3. Step 3: Cross multiply
    17,097.66x = 23,559.74 × 12,614.30
  4. Step 4: Simplify right side
    17,097.66x = 297,189,628.28
  5. Step 5: Solve for x
    x = 297,189,628.28/17,097.66
  6. Step 6: Final answer
    x = 17,381.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.