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Finding the Fourth Proportional to 28,211.82, 42,309.21 and 8,485.14

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Solution

The fourth proportional to 28,211.82, 42,309.21 and 8,485.14 is: 12,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,211.82 : 42,309.21 = 8,485.14 : x
  2. Step 2: Convert to fraction form
    28,211.82/42,309.21 = 8,485.14/x
  3. Step 3: Cross multiply
    28,211.82x = 42,309.21 × 8,485.14
  4. Step 4: Simplify right side
    28,211.82x = 358,999,570.14
  5. Step 5: Solve for x
    x = 358,999,570.14/28,211.82
  6. Step 6: Final answer
    x = 12,725.15

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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.