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Finding the Fourth Proportional to 17,784.70, 24,544.60 and 9,827.46

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Solution

The fourth proportional to 17,784.70, 24,544.60 and 9,827.46 is: 13,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.70 : 24,544.60 = 9,827.46 : x
  2. Step 2: Convert to fraction form
    17,784.70/24,544.60 = 9,827.46/x
  3. Step 3: Cross multiply
    17,784.70x = 24,544.60 × 9,827.46
  4. Step 4: Simplify right side
    17,784.70x = 241,211,074.72
  5. Step 5: Solve for x
    x = 241,211,074.72/17,784.70
  6. Step 6: Final answer
    x = 13,562.84

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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.