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Finding the Fourth Proportional to 16,075.52, 22,184.40 and 9,002

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Solution

The fourth proportional to 16,075.52, 22,184.40 and 9,002 is: 12,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.52 : 22,184.40 = 9,002 : x
  2. Step 2: Convert to fraction form
    16,075.52/22,184.40 = 9,002/x
  3. Step 3: Cross multiply
    16,075.52x = 22,184.40 × 9,002
  4. Step 4: Simplify right side
    16,075.52x = 199,703,968.80
  5. Step 5: Solve for x
    x = 199,703,968.80/16,075.52
  6. Step 6: Final answer
    x = 12,422.86

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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.