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Finding the Fourth Proportional to 13,222.32, 19,834.44 and 4,454.32

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Solution

The fourth proportional to 13,222.32, 19,834.44 and 4,454.32 is: 6,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.32 : 19,834.44 = 4,454.32 : x
  2. Step 2: Convert to fraction form
    13,222.32/19,834.44 = 4,454.32/x
  3. Step 3: Cross multiply
    13,222.32x = 19,834.44 × 4,454.32
  4. Step 4: Simplify right side
    13,222.32x = 88,348,942.78
  5. Step 5: Solve for x
    x = 88,348,942.78/13,222.32
  6. Step 6: Final answer
    x = 6,681.80

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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.