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Finding the Fourth Proportional to 20,496.64, 30,744.96 and 6,646.72

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Solution

The fourth proportional to 20,496.64, 30,744.96 and 6,646.72 is: 9,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.64 : 30,744.96 = 6,646.72 : x
  2. Step 2: Convert to fraction form
    20,496.64/30,744.96 = 6,646.72/x
  3. Step 3: Cross multiply
    20,496.64x = 30,744.96 × 6,646.72
  4. Step 4: Simplify right side
    20,496.64x = 204,353,140.53
  5. Step 5: Solve for x
    x = 204,353,140.53/20,496.64
  6. Step 6: Final answer
    x = 9,970.08

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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.