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Finding the Fourth Proportional to 16,075.94, 22,185.86 and 9,002.82

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Solution

The fourth proportional to 16,075.94, 22,185.86 and 9,002.82 is: 12,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.94 : 22,185.86 = 9,002.82 : x
  2. Step 2: Convert to fraction form
    16,075.94/22,185.86 = 9,002.82/x
  3. Step 3: Cross multiply
    16,075.94x = 22,185.86 × 9,002.82
  4. Step 4: Simplify right side
    16,075.94x = 199,735,259.11
  5. Step 5: Solve for x
    x = 199,735,259.11/16,075.94
  6. Step 6: Final answer
    x = 12,424.48

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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.