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Finding the Fourth Proportional to 13,450.98, 18,562 and 7,784.94

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Solution

The fourth proportional to 13,450.98, 18,562 and 7,784.94 is: 10,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.98 : 18,562 = 7,784.94 : x
  2. Step 2: Convert to fraction form
    13,450.98/18,562 = 7,784.94/x
  3. Step 3: Cross multiply
    13,450.98x = 18,562 × 7,784.94
  4. Step 4: Simplify right side
    13,450.98x = 144,504,056.28
  5. Step 5: Solve for x
    x = 144,504,056.28/13,450.98
  6. Step 6: Final answer
    x = 10,743.01

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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.