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Finding the Fourth Proportional to 13,457.61, 20,186.46 and 4,097.70

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Solution

The fourth proportional to 13,457.61, 20,186.46 and 4,097.70 is: 6,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.61 : 20,186.46 = 4,097.70 : x
  2. Step 2: Convert to fraction form
    13,457.61/20,186.46 = 4,097.70/x
  3. Step 3: Cross multiply
    13,457.61x = 20,186.46 × 4,097.70
  4. Step 4: Simplify right side
    13,457.61x = 82,718,057.14
  5. Step 5: Solve for x
    x = 82,718,057.14/13,457.61
  6. Step 6: Final answer
    x = 6,146.56

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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.