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Finding the Fourth Proportional to 13,802.16, 19,022.30 and 11,267.94

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Solution

The fourth proportional to 13,802.16, 19,022.30 and 11,267.94 is: 15,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.16 : 19,022.30 = 11,267.94 : x
  2. Step 2: Convert to fraction form
    13,802.16/19,022.30 = 11,267.94/x
  3. Step 3: Cross multiply
    13,802.16x = 19,022.30 × 11,267.94
  4. Step 4: Simplify right side
    13,802.16x = 214,342,135.06
  5. Step 5: Solve for x
    x = 214,342,135.06/13,802.16
  6. Step 6: Final answer
    x = 15,529.61

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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.