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Finding the Fourth Proportional to 14,820.64, 20,469.28 and 10,096.72

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Solution

The fourth proportional to 14,820.64, 20,469.28 and 10,096.72 is: 13,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,820.64 : 20,469.28 = 10,096.72 : x
  2. Step 2: Convert to fraction form
    14,820.64/20,469.28 = 10,096.72/x
  3. Step 3: Cross multiply
    14,820.64x = 20,469.28 × 10,096.72
  4. Step 4: Simplify right side
    14,820.64x = 206,672,588.76
  5. Step 5: Solve for x
    x = 206,672,588.76/14,820.64
  6. Step 6: Final answer
    x = 13,944.92

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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.