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Finding the Fourth Proportional to 12,969.72, 19,454.58 and 4,205.52

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Solution

The fourth proportional to 12,969.72, 19,454.58 and 4,205.52 is: 6,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.72 : 19,454.58 = 4,205.52 : x
  2. Step 2: Convert to fraction form
    12,969.72/19,454.58 = 4,205.52/x
  3. Step 3: Cross multiply
    12,969.72x = 19,454.58 × 4,205.52
  4. Step 4: Simplify right side
    12,969.72x = 81,816,625.28
  5. Step 5: Solve for x
    x = 81,816,625.28/12,969.72
  6. Step 6: Final answer
    x = 6,308.28

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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.