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Finding the Fourth Proportional to 20,282.64, 30,410.12 and 6,952.02

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Solution

The fourth proportional to 20,282.64, 30,410.12 and 6,952.02 is: 10,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282.64 : 30,410.12 = 6,952.02 : x
  2. Step 2: Convert to fraction form
    20,282.64/30,410.12 = 6,952.02/x
  3. Step 3: Cross multiply
    20,282.64x = 30,410.12 × 6,952.02
  4. Step 4: Simplify right side
    20,282.64x = 211,411,727.68
  5. Step 5: Solve for x
    x = 211,411,727.68/20,282.64
  6. Step 6: Final answer
    x = 10,423.28

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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.