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Finding the Fourth Proportional to 17,742.54, 24,484.86 and 9,785.04

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Solution

The fourth proportional to 17,742.54, 24,484.86 and 9,785.04 is: 13,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.54 : 24,484.86 = 9,785.04 : x
  2. Step 2: Convert to fraction form
    17,742.54/24,484.86 = 9,785.04/x
  3. Step 3: Cross multiply
    17,742.54x = 24,484.86 × 9,785.04
  4. Step 4: Simplify right side
    17,742.54x = 239,585,334.49
  5. Step 5: Solve for x
    x = 239,585,334.49/17,742.54
  6. Step 6: Final answer
    x = 13,503.44

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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.