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Finding the Fourth Proportional to 13,646.18, 20,478.67 and 4,761.56

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Solution

The fourth proportional to 13,646.18, 20,478.67 and 4,761.56 is: 7,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.18 : 20,478.67 = 4,761.56 : x
  2. Step 2: Convert to fraction form
    13,646.18/20,478.67 = 4,761.56/x
  3. Step 3: Cross multiply
    13,646.18x = 20,478.67 × 4,761.56
  4. Step 4: Simplify right side
    13,646.18x = 97,510,415.93
  5. Step 5: Solve for x
    x = 97,510,415.93/13,646.18
  6. Step 6: Final answer
    x = 7,145.62

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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.