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Finding the Fourth Proportional to 12,920.45, 17,830.41 and 7,256.42

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Solution

The fourth proportional to 12,920.45, 17,830.41 and 7,256.42 is: 10,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.45 : 17,830.41 = 7,256.42 : x
  2. Step 2: Convert to fraction form
    12,920.45/17,830.41 = 7,256.42/x
  3. Step 3: Cross multiply
    12,920.45x = 17,830.41 × 7,256.42
  4. Step 4: Simplify right side
    12,920.45x = 129,384,988.31
  5. Step 5: Solve for x
    x = 129,384,988.31/12,920.45
  6. Step 6: Final answer
    x = 10,013.97

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