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Finding the Fourth Proportional to 23,497.86, 35,243.36 and 6,853.42

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Solution

The fourth proportional to 23,497.86, 35,243.36 and 6,853.42 is: 10,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.86 : 35,243.36 = 6,853.42 : x
  2. Step 2: Convert to fraction form
    23,497.86/35,243.36 = 6,853.42/x
  3. Step 3: Cross multiply
    23,497.86x = 35,243.36 × 6,853.42
  4. Step 4: Simplify right side
    23,497.86x = 241,537,548.29
  5. Step 5: Solve for x
    x = 241,537,548.29/23,497.86
  6. Step 6: Final answer
    x = 10,279.13

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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.