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Finding the Fourth Proportional to 17,046.46, 23,524.29 and 9,971.50

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Solution

The fourth proportional to 17,046.46, 23,524.29 and 9,971.50 is: 13,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046.46 : 23,524.29 = 9,971.50 : x
  2. Step 2: Convert to fraction form
    17,046.46/23,524.29 = 9,971.50/x
  3. Step 3: Cross multiply
    17,046.46x = 23,524.29 × 9,971.50
  4. Step 4: Simplify right side
    17,046.46x = 234,572,457.74
  5. Step 5: Solve for x
    x = 234,572,457.74/17,046.46
  6. Step 6: Final answer
    x = 13,760.77

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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.