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Finding the Fourth Proportional to 12,675.39, 17,486.46 and 7,636.65

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Solution

The fourth proportional to 12,675.39, 17,486.46 and 7,636.65 is: 10,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.39 : 17,486.46 = 7,636.65 : x
  2. Step 2: Convert to fraction form
    12,675.39/17,486.46 = 7,636.65/x
  3. Step 3: Cross multiply
    12,675.39x = 17,486.46 × 7,636.65
  4. Step 4: Simplify right side
    12,675.39x = 133,537,974.76
  5. Step 5: Solve for x
    x = 133,537,974.76/12,675.39
  6. Step 6: Final answer
    x = 10,535.22

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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.