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Finding the Fourth Proportional to 16,829.30, 25,371.64 and 16,829.30

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Solution

The fourth proportional to 16,829.30, 25,371.64 and 16,829.30 is: 25,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.30 : 25,371.64 = 16,829.30 : x
  2. Step 2: Convert to fraction form
    16,829.30/25,371.64 = 16,829.30/x
  3. Step 3: Cross multiply
    16,829.30x = 25,371.64 × 16,829.30
  4. Step 4: Simplify right side
    16,829.30x = 426,986,941.05
  5. Step 5: Solve for x
    x = 426,986,941.05/16,829.30
  6. Step 6: Final answer
    x = 25,371.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.