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Finding the Fourth Proportional to 16,853.80, 25,284.30 and 5,168.20

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Solution

The fourth proportional to 16,853.80, 25,284.30 and 5,168.20 is: 7,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.80 : 25,284.30 = 5,168.20 : x
  2. Step 2: Convert to fraction form
    16,853.80/25,284.30 = 5,168.20/x
  3. Step 3: Cross multiply
    16,853.80x = 25,284.30 × 5,168.20
  4. Step 4: Simplify right side
    16,853.80x = 130,674,319.26
  5. Step 5: Solve for x
    x = 130,674,319.26/16,853.80
  6. Step 6: Final answer
    x = 7,753.40

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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.