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Finding the Fourth Proportional to 13,677.82, 18,875.39 and 7,390.19

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Solution

The fourth proportional to 13,677.82, 18,875.39 and 7,390.19 is: 10,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.82 : 18,875.39 = 7,390.19 : x
  2. Step 2: Convert to fraction form
    13,677.82/18,875.39 = 7,390.19/x
  3. Step 3: Cross multiply
    13,677.82x = 18,875.39 × 7,390.19
  4. Step 4: Simplify right side
    13,677.82x = 139,492,728.66
  5. Step 5: Solve for x
    x = 139,492,728.66/13,677.82
  6. Step 6: Final answer
    x = 10,198.46

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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.