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Finding the Fourth Proportional to 13,690.84, 18,893.42 and 7,403.26

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Solution

The fourth proportional to 13,690.84, 18,893.42 and 7,403.26 is: 10,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.84 : 18,893.42 = 7,403.26 : x
  2. Step 2: Convert to fraction form
    13,690.84/18,893.42 = 7,403.26/x
  3. Step 3: Cross multiply
    13,690.84x = 18,893.42 × 7,403.26
  4. Step 4: Simplify right side
    13,690.84x = 139,872,900.55
  5. Step 5: Solve for x
    x = 139,872,900.55/13,690.84
  6. Step 6: Final answer
    x = 10,216.53

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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.