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Finding the Fourth Proportional to 13,457.81, 20,187.42 and 4,097.11

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Solution

The fourth proportional to 13,457.81, 20,187.42 and 4,097.11 is: 6,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.81 : 20,187.42 = 4,097.11 : x
  2. Step 2: Convert to fraction form
    13,457.81/20,187.42 = 4,097.11/x
  3. Step 3: Cross multiply
    13,457.81x = 20,187.42 × 4,097.11
  4. Step 4: Simplify right side
    13,457.81x = 82,710,080.36
  5. Step 5: Solve for x
    x = 82,710,080.36/13,457.81
  6. Step 6: Final answer
    x = 6,145.88

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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.