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Finding the Fourth Proportional to 14,282.36, 21,435.82 and 8,048.48

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Solution

The fourth proportional to 14,282.36, 21,435.82 and 8,048.48 is: 12,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.36 : 21,435.82 = 8,048.48 : x
  2. Step 2: Convert to fraction form
    14,282.36/21,435.82 = 8,048.48/x
  3. Step 3: Cross multiply
    14,282.36x = 21,435.82 × 8,048.48
  4. Step 4: Simplify right side
    14,282.36x = 172,525,768.55
  5. Step 5: Solve for x
    x = 172,525,768.55/14,282.36
  6. Step 6: Final answer
    x = 12,079.64

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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.