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Finding the Fourth Proportional to 13,818.42, 20,735.06 and 6,026.76

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Solution

The fourth proportional to 13,818.42, 20,735.06 and 6,026.76 is: 9,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.42 : 20,735.06 = 6,026.76 : x
  2. Step 2: Convert to fraction form
    13,818.42/20,735.06 = 6,026.76/x
  3. Step 3: Cross multiply
    13,818.42x = 20,735.06 × 6,026.76
  4. Step 4: Simplify right side
    13,818.42x = 124,965,200.07
  5. Step 5: Solve for x
    x = 124,965,200.07/13,818.42
  6. Step 6: Final answer
    x = 9,043.38

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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.