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Finding the Fourth Proportional to 16,075.20, 22,182.72 and 9,000

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Solution

The fourth proportional to 16,075.20, 22,182.72 and 9,000 is: 12,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.20 : 22,182.72 = 9,000 : x
  2. Step 2: Convert to fraction form
    16,075.20/22,182.72 = 9,000/x
  3. Step 3: Cross multiply
    16,075.20x = 22,182.72 × 9,000
  4. Step 4: Simplify right side
    16,075.20x = 199,644,480
  5. Step 5: Solve for x
    x = 199,644,480/16,075.20
  6. Step 6: Final answer
    x = 12,419.41

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