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Finding the Fourth Proportional to 17,742.64, 24,485.01 and 9,785.15

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Solution

The fourth proportional to 17,742.64, 24,485.01 and 9,785.15 is: 13,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.64 : 24,485.01 = 9,785.15 : x
  2. Step 2: Convert to fraction form
    17,742.64/24,485.01 = 9,785.15/x
  3. Step 3: Cross multiply
    17,742.64x = 24,485.01 × 9,785.15
  4. Step 4: Simplify right side
    17,742.64x = 239,589,495.60
  5. Step 5: Solve for x
    x = 239,589,495.60/17,742.64
  6. Step 6: Final answer
    x = 13,503.60

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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.