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Finding the Fourth Proportional to 17,497.94, 26,245.82 and 7,109.42

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Solution

The fourth proportional to 17,497.94, 26,245.82 and 7,109.42 is: 10,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.94 : 26,245.82 = 7,109.42 : x
  2. Step 2: Convert to fraction form
    17,497.94/26,245.82 = 7,109.42/x
  3. Step 3: Cross multiply
    17,497.94x = 26,245.82 × 7,109.42
  4. Step 4: Simplify right side
    17,497.94x = 186,592,444.17
  5. Step 5: Solve for x
    x = 186,592,444.17/17,497.94
  6. Step 6: Final answer
    x = 10,663.68

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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.