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Finding the Fourth Proportional to 13,374.66, 18,452.79 and 7,784.58

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Solution

The fourth proportional to 13,374.66, 18,452.79 and 7,784.58 is: 10,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.66 : 18,452.79 = 7,784.58 : x
  2. Step 2: Convert to fraction form
    13,374.66/18,452.79 = 7,784.58/x
  3. Step 3: Cross multiply
    13,374.66x = 18,452.79 × 7,784.58
  4. Step 4: Simplify right side
    13,374.66x = 143,647,219.98
  5. Step 5: Solve for x
    x = 143,647,219.98/13,374.66
  6. Step 6: Final answer
    x = 10,740.25

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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.