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Finding the Fourth Proportional to 13,673.04, 18,870.60 and 7,706

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Solution

The fourth proportional to 13,673.04, 18,870.60 and 7,706 is: 10,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.04 : 18,870.60 = 7,706 : x
  2. Step 2: Convert to fraction form
    13,673.04/18,870.60 = 7,706/x
  3. Step 3: Cross multiply
    13,673.04x = 18,870.60 × 7,706
  4. Step 4: Simplify right side
    13,673.04x = 145,416,843.60
  5. Step 5: Solve for x
    x = 145,416,843.60/13,673.04
  6. Step 6: Final answer
    x = 10,635.30

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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.