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Finding the Fourth Proportional to 17,068.34, 25,582.38 and 7,697.37

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Solution

The fourth proportional to 17,068.34, 25,582.38 and 7,697.37 is: 11,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,068.34 : 25,582.38 = 7,697.37 : x
  2. Step 2: Convert to fraction form
    17,068.34/25,582.38 = 7,697.37/x
  3. Step 3: Cross multiply
    17,068.34x = 25,582.38 × 7,697.37
  4. Step 4: Simplify right side
    17,068.34x = 196,917,044.34
  5. Step 5: Solve for x
    x = 196,917,044.34/17,068.34
  6. Step 6: Final answer
    x = 11,536.98

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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.