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Finding the Fourth Proportional to 13,676.32, 20,498.56 and 6,281.56

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Solution

The fourth proportional to 13,676.32, 20,498.56 and 6,281.56 is: 9,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.32 : 20,498.56 = 6,281.56 : x
  2. Step 2: Convert to fraction form
    13,676.32/20,498.56 = 6,281.56/x
  3. Step 3: Cross multiply
    13,676.32x = 20,498.56 × 6,281.56
  4. Step 4: Simplify right side
    13,676.32x = 128,762,934.55
  5. Step 5: Solve for x
    x = 128,762,934.55/13,676.32
  6. Step 6: Final answer
    x = 9,415.03

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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.