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Finding the Fourth Proportional to 13,690.86, 18,893.39 and 7,403.23

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Solution

The fourth proportional to 13,690.86, 18,893.39 and 7,403.23 is: 10,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.86 : 18,893.39 = 7,403.23 : x
  2. Step 2: Convert to fraction form
    13,690.86/18,893.39 = 7,403.23/x
  3. Step 3: Cross multiply
    13,690.86x = 18,893.39 × 7,403.23
  4. Step 4: Simplify right side
    13,690.86x = 139,872,111.65
  5. Step 5: Solve for x
    x = 139,872,111.65/13,690.86
  6. Step 6: Final answer
    x = 10,216.46

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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.