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Finding the Fourth Proportional to 14,824.50, 20,462.67 and 10,644.90

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Solution

The fourth proportional to 14,824.50, 20,462.67 and 10,644.90 is: 14,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.50 : 20,462.67 = 10,644.90 : x
  2. Step 2: Convert to fraction form
    14,824.50/20,462.67 = 10,644.90/x
  3. Step 3: Cross multiply
    14,824.50x = 20,462.67 × 10,644.90
  4. Step 4: Simplify right side
    14,824.50x = 217,823,075.88
  5. Step 5: Solve for x
    x = 217,823,075.88/14,824.50
  6. Step 6: Final answer
    x = 14,693.45

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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.