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Finding the Fourth Proportional to 14,947.50, 20,633.19 and 11,752.46

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Solution

The fourth proportional to 14,947.50, 20,633.19 and 11,752.46 is: 16,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.50 : 20,633.19 = 11,752.46 : x
  2. Step 2: Convert to fraction form
    14,947.50/20,633.19 = 11,752.46/x
  3. Step 3: Cross multiply
    14,947.50x = 20,633.19 × 11,752.46
  4. Step 4: Simplify right side
    14,947.50x = 242,490,740.15
  5. Step 5: Solve for x
    x = 242,490,740.15/14,947.50
  6. Step 6: Final answer
    x = 16,222.83

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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.