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Finding the Fourth Proportional to 13,972.80, 19,284 and 8,005.44

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Solution

The fourth proportional to 13,972.80, 19,284 and 8,005.44 is: 11,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.80 : 19,284 = 8,005.44 : x
  2. Step 2: Convert to fraction form
    13,972.80/19,284 = 8,005.44/x
  3. Step 3: Cross multiply
    13,972.80x = 19,284 × 8,005.44
  4. Step 4: Simplify right side
    13,972.80x = 154,376,904.96
  5. Step 5: Solve for x
    x = 154,376,904.96/13,972.80
  6. Step 6: Final answer
    x = 11,048.39

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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.