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Finding the Fourth Proportional to 13,075.96, 19,614.94 and 7,846.60

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Solution

The fourth proportional to 13,075.96, 19,614.94 and 7,846.60 is: 11,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.96 : 19,614.94 = 7,846.60 : x
  2. Step 2: Convert to fraction form
    13,075.96/19,614.94 = 7,846.60/x
  3. Step 3: Cross multiply
    13,075.96x = 19,614.94 × 7,846.60
  4. Step 4: Simplify right side
    13,075.96x = 153,910,588.20
  5. Step 5: Solve for x
    x = 153,910,588.20/13,075.96
  6. Step 6: Final answer
    x = 11,770.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.