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Finding the Fourth Proportional to 13,633.18, 18,813.28 and 7,583.40

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Solution

The fourth proportional to 13,633.18, 18,813.28 and 7,583.40 is: 10,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.18 : 18,813.28 = 7,583.40 : x
  2. Step 2: Convert to fraction form
    13,633.18/18,813.28 = 7,583.40/x
  3. Step 3: Cross multiply
    13,633.18x = 18,813.28 × 7,583.40
  4. Step 4: Simplify right side
    13,633.18x = 142,668,627.55
  5. Step 5: Solve for x
    x = 142,668,627.55/13,633.18
  6. Step 6: Final answer
    x = 10,464.81

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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.