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Finding the Fourth Proportional to 20,346.68, 30,516.53 and 6,114.94

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Solution

The fourth proportional to 20,346.68, 30,516.53 and 6,114.94 is: 9,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,346.68 : 30,516.53 = 6,114.94 : x
  2. Step 2: Convert to fraction form
    20,346.68/30,516.53 = 6,114.94/x
  3. Step 3: Cross multiply
    20,346.68x = 30,516.53 × 6,114.94
  4. Step 4: Simplify right side
    20,346.68x = 186,606,643.09
  5. Step 5: Solve for x
    x = 186,606,643.09/20,346.68
  6. Step 6: Final answer
    x = 9,171.35

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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.