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Finding the Fourth Proportional to 17,497.36, 26,239.68 and 6,400.78

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Solution

The fourth proportional to 17,497.36, 26,239.68 and 6,400.78 is: 9,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.36 : 26,239.68 = 6,400.78 : x
  2. Step 2: Convert to fraction form
    17,497.36/26,239.68 = 6,400.78/x
  3. Step 3: Cross multiply
    17,497.36x = 26,239.68 × 6,400.78
  4. Step 4: Simplify right side
    17,497.36x = 167,954,418.95
  5. Step 5: Solve for x
    x = 167,954,418.95/17,497.36
  6. Step 6: Final answer
    x = 9,598.84

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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.