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Finding the Fourth Proportional to 12,184.30, 16,817.01 and 7,714.01

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Solution

The fourth proportional to 12,184.30, 16,817.01 and 7,714.01 is: 10,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.30 : 16,817.01 = 7,714.01 : x
  2. Step 2: Convert to fraction form
    12,184.30/16,817.01 = 7,714.01/x
  3. Step 3: Cross multiply
    12,184.30x = 16,817.01 × 7,714.01
  4. Step 4: Simplify right side
    12,184.30x = 129,726,596.43
  5. Step 5: Solve for x
    x = 129,726,596.43/12,184.30
  6. Step 6: Final answer
    x = 10,647.03

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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.