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Finding the Fourth Proportional to 12,454.04, 18,683.88 and 3,689

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Solution

The fourth proportional to 12,454.04, 18,683.88 and 3,689 is: 5,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.04 : 18,683.88 = 3,689 : x
  2. Step 2: Convert to fraction form
    12,454.04/18,683.88 = 3,689/x
  3. Step 3: Cross multiply
    12,454.04x = 18,683.88 × 3,689
  4. Step 4: Simplify right side
    12,454.04x = 68,924,833.32
  5. Step 5: Solve for x
    x = 68,924,833.32/12,454.04
  6. Step 6: Final answer
    x = 5,534.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.