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Finding the Fourth Proportional to 13,024.62, 19,513.44 and 8,018.28

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Solution

The fourth proportional to 13,024.62, 19,513.44 and 8,018.28 is: 12,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.62 : 19,513.44 = 8,018.28 : x
  2. Step 2: Convert to fraction form
    13,024.62/19,513.44 = 8,018.28/x
  3. Step 3: Cross multiply
    13,024.62x = 19,513.44 × 8,018.28
  4. Step 4: Simplify right side
    13,024.62x = 156,464,225.68
  5. Step 5: Solve for x
    x = 156,464,225.68/13,024.62
  6. Step 6: Final answer
    x = 12,012.96

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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.