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Finding the Fourth Proportional to 17,742.80, 24,485.09 and 9,785.00

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Solution

The fourth proportional to 17,742.80, 24,485.09 and 9,785.00 is: 13,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.80 : 24,485.09 = 9,785.00 : x
  2. Step 2: Convert to fraction form
    17,742.80/24,485.09 = 9,785.00/x
  3. Step 3: Cross multiply
    17,742.80x = 24,485.09 × 9,785.00
  4. Step 4: Simplify right side
    17,742.80x = 239,586,617.94
  5. Step 5: Solve for x
    x = 239,586,617.94/17,742.80
  6. Step 6: Final answer
    x = 13,503.32

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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.