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Finding the Fourth Proportional to 14,738.76, 20,333.70 and 8,447.76

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Solution

The fourth proportional to 14,738.76, 20,333.70 and 8,447.76 is: 11,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.76 : 20,333.70 = 8,447.76 : x
  2. Step 2: Convert to fraction form
    14,738.76/20,333.70 = 8,447.76/x
  3. Step 3: Cross multiply
    14,738.76x = 20,333.70 × 8,447.76
  4. Step 4: Simplify right side
    14,738.76x = 171,774,217.51
  5. Step 5: Solve for x
    x = 171,774,217.51/14,738.76
  6. Step 6: Final answer
    x = 11,654.59

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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.