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Finding the Fourth Proportional to 17,412.64, 24,029.92 and 10,243.07

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Solution

The fourth proportional to 17,412.64, 24,029.92 and 10,243.07 is: 14,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.64 : 24,029.92 = 10,243.07 : x
  2. Step 2: Convert to fraction form
    17,412.64/24,029.92 = 10,243.07/x
  3. Step 3: Cross multiply
    17,412.64x = 24,029.92 × 10,243.07
  4. Step 4: Simplify right side
    17,412.64x = 246,140,135.42
  5. Step 5: Solve for x
    x = 246,140,135.42/17,412.64
  6. Step 6: Final answer
    x = 14,135.72

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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.