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Finding the Fourth Proportional to 17,785.34, 24,544.26 and 9,828.08

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Solution

The fourth proportional to 17,785.34, 24,544.26 and 9,828.08 is: 13,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.34 : 24,544.26 = 9,828.08 : x
  2. Step 2: Convert to fraction form
    17,785.34/24,544.26 = 9,828.08/x
  3. Step 3: Cross multiply
    17,785.34x = 24,544.26 × 9,828.08
  4. Step 4: Simplify right side
    17,785.34x = 241,222,950.82
  5. Step 5: Solve for x
    x = 241,222,950.82/17,785.34
  6. Step 6: Final answer
    x = 13,563.02

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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.