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Finding the Fourth Proportional to 17,456.16, 24,085.40 and 9,900.75

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Solution

The fourth proportional to 17,456.16, 24,085.40 and 9,900.75 is: 13,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.16 : 24,085.40 = 9,900.75 : x
  2. Step 2: Convert to fraction form
    17,456.16/24,085.40 = 9,900.75/x
  3. Step 3: Cross multiply
    17,456.16x = 24,085.40 × 9,900.75
  4. Step 4: Simplify right side
    17,456.16x = 238,463,524.05
  5. Step 5: Solve for x
    x = 238,463,524.05/17,456.16
  6. Step 6: Final answer
    x = 13,660.71

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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.