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Finding the Fourth Proportional to 13,815.24, 19,068.11 and 8,778.48

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Solution

The fourth proportional to 13,815.24, 19,068.11 and 8,778.48 is: 12,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.24 : 19,068.11 = 8,778.48 : x
  2. Step 2: Convert to fraction form
    13,815.24/19,068.11 = 8,778.48/x
  3. Step 3: Cross multiply
    13,815.24x = 19,068.11 × 8,778.48
  4. Step 4: Simplify right side
    13,815.24x = 167,388,883.04
  5. Step 5: Solve for x
    x = 167,388,883.04/13,815.24
  6. Step 6: Final answer
    x = 12,116.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.