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Finding the Fourth Proportional to 26,084.90, 39,075.17 and 12,025.71

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Solution

The fourth proportional to 26,084.90, 39,075.17 and 12,025.71 is: 18,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084.90 : 39,075.17 = 12,025.71 : x
  2. Step 2: Convert to fraction form
    26,084.90/39,075.17 = 12,025.71/x
  3. Step 3: Cross multiply
    26,084.90x = 39,075.17 × 12,025.71
  4. Step 4: Simplify right side
    26,084.90x = 469,906,602.49
  5. Step 5: Solve for x
    x = 469,906,602.49/26,084.90
  6. Step 6: Final answer
    x = 18,014.50

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Why These Related Problems?

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