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Finding the Fourth Proportional to 16,075.59, 22,184.33 and 9,002.03

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Solution

The fourth proportional to 16,075.59, 22,184.33 and 9,002.03 is: 12,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.59 : 22,184.33 = 9,002.03 : x
  2. Step 2: Convert to fraction form
    16,075.59/22,184.33 = 9,002.03/x
  3. Step 3: Cross multiply
    16,075.59x = 22,184.33 × 9,002.03
  4. Step 4: Simplify right side
    16,075.59x = 199,703,848.26
  5. Step 5: Solve for x
    x = 199,703,848.26/16,075.59
  6. Step 6: Final answer
    x = 12,422.80

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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.