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Finding the Fourth Proportional to 16,967.04, 25,411.68 and 16,008

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Solution

The fourth proportional to 16,967.04, 25,411.68 and 16,008 is: 23,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.04 : 25,411.68 = 16,008 : x
  2. Step 2: Convert to fraction form
    16,967.04/25,411.68 = 16,008/x
  3. Step 3: Cross multiply
    16,967.04x = 25,411.68 × 16,008
  4. Step 4: Simplify right side
    16,967.04x = 406,790,173.44
  5. Step 5: Solve for x
    x = 406,790,173.44/16,967.04
  6. Step 6: Final answer
    x = 23,975.32

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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.