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Finding the Fourth Proportional to 14,206.32, 19,604.97 and 7,833.65

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Solution

The fourth proportional to 14,206.32, 19,604.97 and 7,833.65 is: 10,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.32 : 19,604.97 = 7,833.65 : x
  2. Step 2: Convert to fraction form
    14,206.32/19,604.97 = 7,833.65/x
  3. Step 3: Cross multiply
    14,206.32x = 19,604.97 × 7,833.65
  4. Step 4: Simplify right side
    14,206.32x = 153,578,375.22
  5. Step 5: Solve for x
    x = 153,578,375.22/14,206.32
  6. Step 6: Final answer
    x = 10,810.57

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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.