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Finding the Fourth Proportional to 35,817.20, 53,713.04 and 13,636.56

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Solution

The fourth proportional to 35,817.20, 53,713.04 and 13,636.56 is: 20,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,817.20 : 53,713.04 = 13,636.56 : x
  2. Step 2: Convert to fraction form
    35,817.20/53,713.04 = 13,636.56/x
  3. Step 3: Cross multiply
    35,817.20x = 53,713.04 × 13,636.56
  4. Step 4: Simplify right side
    35,817.20x = 732,461,024.56
  5. Step 5: Solve for x
    x = 732,461,024.56/35,817.20
  6. Step 6: Final answer
    x = 20,449.98

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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.