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Finding the Fourth Proportional to 17,411.86, 24,029.85 and 9,859.51

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Solution

The fourth proportional to 17,411.86, 24,029.85 and 9,859.51 is: 13,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.86 : 24,029.85 = 9,859.51 : x
  2. Step 2: Convert to fraction form
    17,411.86/24,029.85 = 9,859.51/x
  3. Step 3: Cross multiply
    17,411.86x = 24,029.85 × 9,859.51
  4. Step 4: Simplify right side
    17,411.86x = 236,922,546.37
  5. Step 5: Solve for x
    x = 236,922,546.37/17,411.86
  6. Step 6: Final answer
    x = 13,606.96

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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.