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Finding the Fourth Proportional to 12,135.52, 16,704.90 and 10,462.46

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Solution

The fourth proportional to 12,135.52, 16,704.90 and 10,462.46 is: 14,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.52 : 16,704.90 = 10,462.46 : x
  2. Step 2: Convert to fraction form
    12,135.52/16,704.90 = 10,462.46/x
  3. Step 3: Cross multiply
    12,135.52x = 16,704.90 × 10,462.46
  4. Step 4: Simplify right side
    12,135.52x = 174,774,348.05
  5. Step 5: Solve for x
    x = 174,774,348.05/12,135.52
  6. Step 6: Final answer
    x = 14,401.88

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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.