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Finding the Fourth Proportional to 16,182.90, 22,331.88 and 9,012.82

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Solution

The fourth proportional to 16,182.90, 22,331.88 and 9,012.82 is: 12,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.90 : 22,331.88 = 9,012.82 : x
  2. Step 2: Convert to fraction form
    16,182.90/22,331.88 = 9,012.82/x
  3. Step 3: Cross multiply
    16,182.90x = 22,331.88 × 9,012.82
  4. Step 4: Simplify right side
    16,182.90x = 201,273,214.70
  5. Step 5: Solve for x
    x = 201,273,214.70/16,182.90
  6. Step 6: Final answer
    x = 12,437.40

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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.