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Finding the Fourth Proportional to 12,830.49, 19,245.53 and 10,634.58

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Solution

The fourth proportional to 12,830.49, 19,245.53 and 10,634.58 is: 15,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.49 : 19,245.53 = 10,634.58 : x
  2. Step 2: Convert to fraction form
    12,830.49/19,245.53 = 10,634.58/x
  3. Step 3: Cross multiply
    12,830.49x = 19,245.53 × 10,634.58
  4. Step 4: Simplify right side
    12,830.49x = 204,668,128.43
  5. Step 5: Solve for x
    x = 204,668,128.43/12,830.49
  6. Step 6: Final answer
    x = 15,951.70

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