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Finding the Fourth Proportional to 12,419.76, 18,622.44 and 5,018.16

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Solution

The fourth proportional to 12,419.76, 18,622.44 and 5,018.16 is: 7,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.76 : 18,622.44 = 5,018.16 : x
  2. Step 2: Convert to fraction form
    12,419.76/18,622.44 = 5,018.16/x
  3. Step 3: Cross multiply
    12,419.76x = 18,622.44 × 5,018.16
  4. Step 4: Simplify right side
    12,419.76x = 93,450,383.51
  5. Step 5: Solve for x
    x = 93,450,383.51/12,419.76
  6. Step 6: Final answer
    x = 7,524.33

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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.