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Finding the Fourth Proportional to 12,863.24, 19,296 and 5,070.20

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Solution

The fourth proportional to 12,863.24, 19,296 and 5,070.20 is: 7,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.24 : 19,296 = 5,070.20 : x
  2. Step 2: Convert to fraction form
    12,863.24/19,296 = 5,070.20/x
  3. Step 3: Cross multiply
    12,863.24x = 19,296 × 5,070.20
  4. Step 4: Simplify right side
    12,863.24x = 97,834,579.20
  5. Step 5: Solve for x
    x = 97,834,579.20/12,863.24
  6. Step 6: Final answer
    x = 7,605.75

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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.