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Finding the Fourth Proportional to 12,924.10, 17,835.42 and 7,618.60

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Solution

The fourth proportional to 12,924.10, 17,835.42 and 7,618.60 is: 10,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.10 : 17,835.42 = 7,618.60 : x
  2. Step 2: Convert to fraction form
    12,924.10/17,835.42 = 7,618.60/x
  3. Step 3: Cross multiply
    12,924.10x = 17,835.42 × 7,618.60
  4. Step 4: Simplify right side
    12,924.10x = 135,880,930.81
  5. Step 5: Solve for x
    x = 135,880,930.81/12,924.10
  6. Step 6: Final answer
    x = 10,513.76

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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.