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Finding the Fourth Proportional to 16,486.20, 24,713.10 and 8,159.40

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Solution

The fourth proportional to 16,486.20, 24,713.10 and 8,159.40 is: 12,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.20 : 24,713.10 = 8,159.40 : x
  2. Step 2: Convert to fraction form
    16,486.20/24,713.10 = 8,159.40/x
  3. Step 3: Cross multiply
    16,486.20x = 24,713.10 × 8,159.40
  4. Step 4: Simplify right side
    16,486.20x = 201,644,068.14
  5. Step 5: Solve for x
    x = 201,644,068.14/16,486.20
  6. Step 6: Final answer
    x = 12,231.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.