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Finding the Fourth Proportional to 14,550.72, 21,829.31 and 7,973.52

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Solution

The fourth proportional to 14,550.72, 21,829.31 and 7,973.52 is: 11,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.72 : 21,829.31 = 7,973.52 : x
  2. Step 2: Convert to fraction form
    14,550.72/21,829.31 = 7,973.52/x
  3. Step 3: Cross multiply
    14,550.72x = 21,829.31 × 7,973.52
  4. Step 4: Simplify right side
    14,550.72x = 174,056,439.87
  5. Step 5: Solve for x
    x = 174,056,439.87/14,550.72
  6. Step 6: Final answer
    x = 11,962.05

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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.