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Finding the Fourth Proportional to 14,281.62, 19,707.81 and 7,907.85

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Solution

The fourth proportional to 14,281.62, 19,707.81 and 7,907.85 is: 10,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.62 : 19,707.81 = 7,907.85 : x
  2. Step 2: Convert to fraction form
    14,281.62/19,707.81 = 7,907.85/x
  3. Step 3: Cross multiply
    14,281.62x = 19,707.81 × 7,907.85
  4. Step 4: Simplify right side
    14,281.62x = 155,846,405.31
  5. Step 5: Solve for x
    x = 155,846,405.31/14,281.62
  6. Step 6: Final answer
    x = 10,912.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.