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Finding the Fourth Proportional to 12,211.67, 16,852.14 and 7,730.75

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Solution

The fourth proportional to 12,211.67, 16,852.14 and 7,730.75 is: 10,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.67 : 16,852.14 = 7,730.75 : x
  2. Step 2: Convert to fraction form
    12,211.67/16,852.14 = 7,730.75/x
  3. Step 3: Cross multiply
    12,211.67x = 16,852.14 × 7,730.75
  4. Step 4: Simplify right side
    12,211.67x = 130,279,681.31
  5. Step 5: Solve for x
    x = 130,279,681.31/12,211.67
  6. Step 6: Final answer
    x = 10,668.46

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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.