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Finding the Fourth Proportional to 13,457.17, 20,186.14 and 3,596.46

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Solution

The fourth proportional to 13,457.17, 20,186.14 and 3,596.46 is: 5,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.17 : 20,186.14 = 3,596.46 : x
  2. Step 2: Convert to fraction form
    13,457.17/20,186.14 = 3,596.46/x
  3. Step 3: Cross multiply
    13,457.17x = 20,186.14 × 3,596.46
  4. Step 4: Simplify right side
    13,457.17x = 72,598,636.07
  5. Step 5: Solve for x
    x = 72,598,636.07/13,457.17
  6. Step 6: Final answer
    x = 5,394.79

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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.