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Finding the Fourth Proportional to 17,395.20, 24,007.68 and 11,808

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Solution

The fourth proportional to 17,395.20, 24,007.68 and 11,808 is: 16,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,395.20 : 24,007.68 = 11,808 : x
  2. Step 2: Convert to fraction form
    17,395.20/24,007.68 = 11,808/x
  3. Step 3: Cross multiply
    17,395.20x = 24,007.68 × 11,808
  4. Step 4: Simplify right side
    17,395.20x = 283,482,685.44
  5. Step 5: Solve for x
    x = 283,482,685.44/17,395.20
  6. Step 6: Final answer
    x = 16,296.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.