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Finding the Fourth Proportional to 14,995.76, 22,471.76 and 8,434.76

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Solution

The fourth proportional to 14,995.76, 22,471.76 and 8,434.76 is: 12,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,995.76 : 22,471.76 = 8,434.76 : x
  2. Step 2: Convert to fraction form
    14,995.76/22,471.76 = 8,434.76/x
  3. Step 3: Cross multiply
    14,995.76x = 22,471.76 × 8,434.76
  4. Step 4: Simplify right side
    14,995.76x = 189,543,747.85
  5. Step 5: Solve for x
    x = 189,543,747.85/14,995.76
  6. Step 6: Final answer
    x = 12,639.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.