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Finding the Fourth Proportional to 17,114.68, 25,672.93 and 5,428.81

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Solution

The fourth proportional to 17,114.68, 25,672.93 and 5,428.81 is: 8,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.68 : 25,672.93 = 5,428.81 : x
  2. Step 2: Convert to fraction form
    17,114.68/25,672.93 = 5,428.81/x
  3. Step 3: Cross multiply
    17,114.68x = 25,672.93 × 5,428.81
  4. Step 4: Simplify right side
    17,114.68x = 139,373,330.75
  5. Step 5: Solve for x
    x = 139,373,330.75/17,114.68
  6. Step 6: Final answer
    x = 8,143.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.