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Finding the Fourth Proportional to 13,238.40, 18,268.98 and 7,649.40

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Solution

The fourth proportional to 13,238.40, 18,268.98 and 7,649.40 is: 10,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.40 : 18,268.98 = 7,649.40 : x
  2. Step 2: Convert to fraction form
    13,238.40/18,268.98 = 7,649.40/x
  3. Step 3: Cross multiply
    13,238.40x = 18,268.98 × 7,649.40
  4. Step 4: Simplify right side
    13,238.40x = 139,746,735.61
  5. Step 5: Solve for x
    x = 139,746,735.61/13,238.40
  6. Step 6: Final answer
    x = 10,556.17

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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.