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Finding the Fourth Proportional to 21,674.64, 32,513.08 and 6,884.70

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Solution

The fourth proportional to 21,674.64, 32,513.08 and 6,884.70 is: 10,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.64 : 32,513.08 = 6,884.70 : x
  2. Step 2: Convert to fraction form
    21,674.64/32,513.08 = 6,884.70/x
  3. Step 3: Cross multiply
    21,674.64x = 32,513.08 × 6,884.70
  4. Step 4: Simplify right side
    21,674.64x = 223,842,801.88
  5. Step 5: Solve for x
    x = 223,842,801.88/21,674.64
  6. Step 6: Final answer
    x = 10,327.41

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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.