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Finding the Fourth Proportional to 24,162.50, 33,344.34 and 14,097.89

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Solution

The fourth proportional to 24,162.50, 33,344.34 and 14,097.89 is: 19,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,162.50 : 33,344.34 = 14,097.89 : x
  2. Step 2: Convert to fraction form
    24,162.50/33,344.34 = 14,097.89/x
  3. Step 3: Cross multiply
    24,162.50x = 33,344.34 × 14,097.89
  4. Step 4: Simplify right side
    24,162.50x = 470,084,837.44
  5. Step 5: Solve for x
    x = 470,084,837.44/24,162.50
  6. Step 6: Final answer
    x = 19,455.14

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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.