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Finding the Fourth Proportional to 12,841.92, 19,262.16 and 4,522.32

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Solution

The fourth proportional to 12,841.92, 19,262.16 and 4,522.32 is: 6,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.92 : 19,262.16 = 4,522.32 : x
  2. Step 2: Convert to fraction form
    12,841.92/19,262.16 = 4,522.32/x
  3. Step 3: Cross multiply
    12,841.92x = 19,262.16 × 4,522.32
  4. Step 4: Simplify right side
    12,841.92x = 87,109,651.41
  5. Step 5: Solve for x
    x = 87,109,651.41/12,841.92
  6. Step 6: Final answer
    x = 6,783.23

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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.