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Finding the Fourth Proportional to 14,989.27, 20,684.97 and 8,275

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Solution

The fourth proportional to 14,989.27, 20,684.97 and 8,275 is: 11,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,989.27 : 20,684.97 = 8,275 : x
  2. Step 2: Convert to fraction form
    14,989.27/20,684.97 = 8,275/x
  3. Step 3: Cross multiply
    14,989.27x = 20,684.97 × 8,275
  4. Step 4: Simplify right side
    14,989.27x = 171,168,126.75
  5. Step 5: Solve for x
    x = 171,168,126.75/14,989.27
  6. Step 6: Final answer
    x = 11,419.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.