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Finding the Fourth Proportional to 26,084, 39,100.08 and 12,208.16

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Solution

The fourth proportional to 26,084, 39,100.08 and 12,208.16 is: 18,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084 : 39,100.08 = 12,208.16 : x
  2. Step 2: Convert to fraction form
    26,084/39,100.08 = 12,208.16/x
  3. Step 3: Cross multiply
    26,084x = 39,100.08 × 12,208.16
  4. Step 4: Simplify right side
    26,084x = 477,340,032.65
  5. Step 5: Solve for x
    x = 477,340,032.65/26,084
  6. Step 6: Final answer
    x = 18,300.11

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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.