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Finding the Fourth Proportional to 24,498.16, 33,806.10 and 13,887.16

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Solution

The fourth proportional to 24,498.16, 33,806.10 and 13,887.16 is: 19,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.16 : 33,806.10 = 13,887.16 : x
  2. Step 2: Convert to fraction form
    24,498.16/33,806.10 = 13,887.16/x
  3. Step 3: Cross multiply
    24,498.16x = 33,806.10 × 13,887.16
  4. Step 4: Simplify right side
    24,498.16x = 469,470,719.68
  5. Step 5: Solve for x
    x = 469,470,719.68/24,498.16
  6. Step 6: Final answer
    x = 19,163.51

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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.