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Finding the Fourth Proportional to 19,075.50, 26,325 and 10,692

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Solution

The fourth proportional to 19,075.50, 26,325 and 10,692 is: 14,755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075.50 : 26,325 = 10,692 : x
  2. Step 2: Convert to fraction form
    19,075.50/26,325 = 10,692/x
  3. Step 3: Cross multiply
    19,075.50x = 26,325 × 10,692
  4. Step 4: Simplify right side
    19,075.50x = 281,466,900
  5. Step 5: Solve for x
    x = 281,466,900/19,075.50
  6. Step 6: Final answer
    x = 14,755.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.