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Finding the Fourth Proportional to 23,212.64, 34,815.62 and 7,419.47

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Solution

The fourth proportional to 23,212.64, 34,815.62 and 7,419.47 is: 11,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.64 : 34,815.62 = 7,419.47 : x
  2. Step 2: Convert to fraction form
    23,212.64/34,815.62 = 7,419.47/x
  3. Step 3: Cross multiply
    23,212.64x = 34,815.62 × 7,419.47
  4. Step 4: Simplify right side
    23,212.64x = 258,313,448.12
  5. Step 5: Solve for x
    x = 258,313,448.12/23,212.64
  6. Step 6: Final answer
    x = 11,128.14

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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.