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Finding the Fourth Proportional to 23,183.84, 31,994.88 and 13,624.22

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Solution

The fourth proportional to 23,183.84, 31,994.88 and 13,624.22 is: 18,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.84 : 31,994.88 = 13,624.22 : x
  2. Step 2: Convert to fraction form
    23,183.84/31,994.88 = 13,624.22/x
  3. Step 3: Cross multiply
    23,183.84x = 31,994.88 × 13,624.22
  4. Step 4: Simplify right side
    23,183.84x = 435,905,283.99
  5. Step 5: Solve for x
    x = 435,905,283.99/23,183.84
  6. Step 6: Final answer
    x = 18,802.12

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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.