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Finding the Fourth Proportional to 26,075.56, 39,119.10 and 12,217

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Solution

The fourth proportional to 26,075.56, 39,119.10 and 12,217 is: 18,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,075.56 : 39,119.10 = 12,217 : x
  2. Step 2: Convert to fraction form
    26,075.56/39,119.10 = 12,217/x
  3. Step 3: Cross multiply
    26,075.56x = 39,119.10 × 12,217
  4. Step 4: Simplify right side
    26,075.56x = 477,918,044.70
  5. Step 5: Solve for x
    x = 477,918,044.70/26,075.56
  6. Step 6: Final answer
    x = 18,328.20

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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.