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Finding the Fourth Proportional to 17,785.86, 24,544.96 and 9,828.58

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Solution

The fourth proportional to 17,785.86, 24,544.96 and 9,828.58 is: 13,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.86 : 24,544.96 = 9,828.58 : x
  2. Step 2: Convert to fraction form
    17,785.86/24,544.96 = 9,828.58/x
  3. Step 3: Cross multiply
    17,785.86x = 24,544.96 × 9,828.58
  4. Step 4: Simplify right side
    17,785.86x = 241,242,102.96
  5. Step 5: Solve for x
    x = 241,242,102.96/17,785.86
  6. Step 6: Final answer
    x = 13,563.70

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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.