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Finding the Fourth Proportional to 35,701.28, 53,564 and 13,520.96

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Solution

The fourth proportional to 35,701.28, 53,564 and 13,520.96 is: 20,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.28 : 53,564 = 13,520.96 : x
  2. Step 2: Convert to fraction form
    35,701.28/53,564 = 13,520.96/x
  3. Step 3: Cross multiply
    35,701.28x = 53,564 × 13,520.96
  4. Step 4: Simplify right side
    35,701.28x = 724,236,701.44
  5. Step 5: Solve for x
    x = 724,236,701.44/35,701.28
  6. Step 6: Final answer
    x = 20,286.01

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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.