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Finding the Fourth Proportional to 20,643.72, 30,955.99 and 10,114.26

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Solution

The fourth proportional to 20,643.72, 30,955.99 and 10,114.26 is: 15,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.72 : 30,955.99 = 10,114.26 : x
  2. Step 2: Convert to fraction form
    20,643.72/30,955.99 = 10,114.26/x
  3. Step 3: Cross multiply
    20,643.72x = 30,955.99 × 10,114.26
  4. Step 4: Simplify right side
    20,643.72x = 313,096,931.42
  5. Step 5: Solve for x
    x = 313,096,931.42/20,643.72
  6. Step 6: Final answer
    x = 15,166.69

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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.