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Finding the Fourth Proportional to 12,628.17, 17,423.75 and 7,591.38

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Solution

The fourth proportional to 12,628.17, 17,423.75 and 7,591.38 is: 10,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,628.17 : 17,423.75 = 7,591.38 : x
  2. Step 2: Convert to fraction form
    12,628.17/17,423.75 = 7,591.38/x
  3. Step 3: Cross multiply
    12,628.17x = 17,423.75 × 7,591.38
  4. Step 4: Simplify right side
    12,628.17x = 132,270,307.28
  5. Step 5: Solve for x
    x = 132,270,307.28/12,628.17
  6. Step 6: Final answer
    x = 10,474.23

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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.