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Finding the Fourth Proportional to 13,645.48, 20,448.98 and 10,859.76

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Solution

The fourth proportional to 13,645.48, 20,448.98 and 10,859.76 is: 16,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.48 : 20,448.98 = 10,859.76 : x
  2. Step 2: Convert to fraction form
    13,645.48/20,448.98 = 10,859.76/x
  3. Step 3: Cross multiply
    13,645.48x = 20,448.98 × 10,859.76
  4. Step 4: Simplify right side
    13,645.48x = 222,071,015.04
  5. Step 5: Solve for x
    x = 222,071,015.04/13,645.48
  6. Step 6: Final answer
    x = 16,274.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.