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Finding the Fourth Proportional to 17,970.96, 26,961.32 and 10,185.24

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Solution

The fourth proportional to 17,970.96, 26,961.32 and 10,185.24 is: 15,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.96 : 26,961.32 = 10,185.24 : x
  2. Step 2: Convert to fraction form
    17,970.96/26,961.32 = 10,185.24/x
  3. Step 3: Cross multiply
    17,970.96x = 26,961.32 × 10,185.24
  4. Step 4: Simplify right side
    17,970.96x = 274,607,514.92
  5. Step 5: Solve for x
    x = 274,607,514.92/17,970.96
  6. Step 6: Final answer
    x = 15,280.63

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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.