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Finding the Fourth Proportional to 12,069.20, 16,657.02 and 7,033.65

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Solution

The fourth proportional to 12,069.20, 16,657.02 and 7,033.65 is: 9,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.20 : 16,657.02 = 7,033.65 : x
  2. Step 2: Convert to fraction form
    12,069.20/16,657.02 = 7,033.65/x
  3. Step 3: Cross multiply
    12,069.20x = 16,657.02 × 7,033.65
  4. Step 4: Simplify right side
    12,069.20x = 117,159,648.72
  5. Step 5: Solve for x
    x = 117,159,648.72/12,069.20
  6. Step 6: Final answer
    x = 9,707.33

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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.