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Finding the Fourth Proportional to 14,524.30, 20,045.10 and 8,236

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Solution

The fourth proportional to 14,524.30, 20,045.10 and 8,236 is: 11,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.30 : 20,045.10 = 8,236 : x
  2. Step 2: Convert to fraction form
    14,524.30/20,045.10 = 8,236/x
  3. Step 3: Cross multiply
    14,524.30x = 20,045.10 × 8,236
  4. Step 4: Simplify right side
    14,524.30x = 165,091,443.60
  5. Step 5: Solve for x
    x = 165,091,443.60/14,524.30
  6. Step 6: Final answer
    x = 11,366.57

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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.