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Finding the Fourth Proportional to 14,000.06, 20,997.65 and 4,766.06

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Solution

The fourth proportional to 14,000.06, 20,997.65 and 4,766.06 is: 7,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.06 : 20,997.65 = 4,766.06 : x
  2. Step 2: Convert to fraction form
    14,000.06/20,997.65 = 4,766.06/x
  3. Step 3: Cross multiply
    14,000.06x = 20,997.65 × 4,766.06
  4. Step 4: Simplify right side
    14,000.06x = 100,075,966.69
  5. Step 5: Solve for x
    x = 100,075,966.69/14,000.06
  6. Step 6: Final answer
    x = 7,148.26

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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.