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Finding the Fourth Proportional to 13,690.81, 18,893.32 and 7,403.19

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Solution

The fourth proportional to 13,690.81, 18,893.32 and 7,403.19 is: 10,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.81 : 18,893.32 = 7,403.19 : x
  2. Step 2: Convert to fraction form
    13,690.81/18,893.32 = 7,403.19/x
  3. Step 3: Cross multiply
    13,690.81x = 18,893.32 × 7,403.19
  4. Step 4: Simplify right side
    13,690.81x = 139,870,801.47
  5. Step 5: Solve for x
    x = 139,870,801.47/13,690.81
  6. Step 6: Final answer
    x = 10,216.40

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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.