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Finding the Fourth Proportional to 16,075.16, 22,184.72 and 9,002.12

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Solution

The fourth proportional to 16,075.16, 22,184.72 and 9,002.12 is: 12,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.16 : 22,184.72 = 9,002.12 : x
  2. Step 2: Convert to fraction form
    16,075.16/22,184.72 = 9,002.12/x
  3. Step 3: Cross multiply
    16,075.16x = 22,184.72 × 9,002.12
  4. Step 4: Simplify right side
    16,075.16x = 199,709,511.61
  5. Step 5: Solve for x
    x = 199,709,511.61/16,075.16
  6. Step 6: Final answer
    x = 12,423.49

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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.