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Finding the Fourth Proportional to 13,973.80, 19,284.34 and 8,004.21

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Solution

The fourth proportional to 13,973.80, 19,284.34 and 8,004.21 is: 11,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.80 : 19,284.34 = 8,004.21 : x
  2. Step 2: Convert to fraction form
    13,973.80/19,284.34 = 8,004.21/x
  3. Step 3: Cross multiply
    13,973.80x = 19,284.34 × 8,004.21
  4. Step 4: Simplify right side
    13,973.80x = 154,355,907.07
  5. Step 5: Solve for x
    x = 154,355,907.07/13,973.80
  6. Step 6: Final answer
    x = 11,046.09

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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.