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Finding the Fourth Proportional to 35,900.28, 53,819.64 and 13,698

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Solution

The fourth proportional to 35,900.28, 53,819.64 and 13,698 is: 20,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,900.28 : 53,819.64 = 13,698 : x
  2. Step 2: Convert to fraction form
    35,900.28/53,819.64 = 13,698/x
  3. Step 3: Cross multiply
    35,900.28x = 53,819.64 × 13,698
  4. Step 4: Simplify right side
    35,900.28x = 737,221,428.72
  5. Step 5: Solve for x
    x = 737,221,428.72/35,900.28
  6. Step 6: Final answer
    x = 20,535.26

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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.