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Finding the Fourth Proportional to 14,024.64, 20,954.82 and 13,534.10

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Solution

The fourth proportional to 14,024.64, 20,954.82 and 13,534.10 is: 20,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.64 : 20,954.82 = 13,534.10 : x
  2. Step 2: Convert to fraction form
    14,024.64/20,954.82 = 13,534.10/x
  3. Step 3: Cross multiply
    14,024.64x = 20,954.82 × 13,534.10
  4. Step 4: Simplify right side
    14,024.64x = 283,604,629.36
  5. Step 5: Solve for x
    x = 283,604,629.36/14,024.64
  6. Step 6: Final answer
    x = 20,221.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.