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Finding the Fourth Proportional to 38,536.68, 57,807 and 10,836.84

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Solution

The fourth proportional to 38,536.68, 57,807 and 10,836.84 is: 16,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536.68 : 57,807 = 10,836.84 : x
  2. Step 2: Convert to fraction form
    38,536.68/57,807 = 10,836.84/x
  3. Step 3: Cross multiply
    38,536.68x = 57,807 × 10,836.84
  4. Step 4: Simplify right side
    38,536.68x = 626,445,209.88
  5. Step 5: Solve for x
    x = 626,445,209.88/38,536.68
  6. Step 6: Final answer
    x = 16,255.82

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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.