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Finding the Fourth Proportional to 17,742.98, 24,485.48 and 9,785.48

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Solution

The fourth proportional to 17,742.98, 24,485.48 and 9,785.48 is: 13,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.98 : 24,485.48 = 9,785.48 : x
  2. Step 2: Convert to fraction form
    17,742.98/24,485.48 = 9,785.48/x
  3. Step 3: Cross multiply
    17,742.98x = 24,485.48 × 9,785.48
  4. Step 4: Simplify right side
    17,742.98x = 239,602,174.83
  5. Step 5: Solve for x
    x = 239,602,174.83/17,742.98
  6. Step 6: Final answer
    x = 13,504.05

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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.