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Finding the Fourth Proportional to 20,652.84, 30,965.35 and 12,338.66

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Solution

The fourth proportional to 20,652.84, 30,965.35 and 12,338.66 is: 18,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.84 : 30,965.35 = 12,338.66 : x
  2. Step 2: Convert to fraction form
    20,652.84/30,965.35 = 12,338.66/x
  3. Step 3: Cross multiply
    20,652.84x = 30,965.35 × 12,338.66
  4. Step 4: Simplify right side
    20,652.84x = 382,070,925.43
  5. Step 5: Solve for x
    x = 382,070,925.43/20,652.84
  6. Step 6: Final answer
    x = 18,499.68

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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.