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Finding the Fourth Proportional to 13,026.40, 19,540.96 and 3,792.40

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Solution

The fourth proportional to 13,026.40, 19,540.96 and 3,792.40 is: 5,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.40 : 19,540.96 = 3,792.40 : x
  2. Step 2: Convert to fraction form
    13,026.40/19,540.96 = 3,792.40/x
  3. Step 3: Cross multiply
    13,026.40x = 19,540.96 × 3,792.40
  4. Step 4: Simplify right side
    13,026.40x = 74,107,136.70
  5. Step 5: Solve for x
    x = 74,107,136.70/13,026.40
  6. Step 6: Final answer
    x = 5,689.00

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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.