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Finding the Fourth Proportional to 14,840.78, 20,462.90 and 11,847.02

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Solution

The fourth proportional to 14,840.78, 20,462.90 and 11,847.02 is: 16,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,840.78 : 20,462.90 = 11,847.02 : x
  2. Step 2: Convert to fraction form
    14,840.78/20,462.90 = 11,847.02/x
  3. Step 3: Cross multiply
    14,840.78x = 20,462.90 × 11,847.02
  4. Step 4: Simplify right side
    14,840.78x = 242,424,385.56
  5. Step 5: Solve for x
    x = 242,424,385.56/14,840.78
  6. Step 6: Final answer
    x = 16,335.02

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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.