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Finding the Fourth Proportional to 13,026.44, 19,522.80 and 8,344.64

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Solution

The fourth proportional to 13,026.44, 19,522.80 and 8,344.64 is: 12,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.44 : 19,522.80 = 8,344.64 : x
  2. Step 2: Convert to fraction form
    13,026.44/19,522.80 = 8,344.64/x
  3. Step 3: Cross multiply
    13,026.44x = 19,522.80 × 8,344.64
  4. Step 4: Simplify right side
    13,026.44x = 162,910,737.79
  5. Step 5: Solve for x
    x = 162,910,737.79/13,026.44
  6. Step 6: Final answer
    x = 12,506.16

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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.