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Finding the Fourth Proportional to 16,000.34, 22,080.30 and 8,830.32

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Solution

The fourth proportional to 16,000.34, 22,080.30 and 8,830.32 is: 12,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.34 : 22,080.30 = 8,830.32 : x
  2. Step 2: Convert to fraction form
    16,000.34/22,080.30 = 8,830.32/x
  3. Step 3: Cross multiply
    16,000.34x = 22,080.30 × 8,830.32
  4. Step 4: Simplify right side
    16,000.34x = 194,976,114.70
  5. Step 5: Solve for x
    x = 194,976,114.70/16,000.34
  6. Step 6: Final answer
    x = 12,185.75

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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.