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Finding the Fourth Proportional to 13,451.18, 20,176.74 and 6,409.82

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Solution

The fourth proportional to 13,451.18, 20,176.74 and 6,409.82 is: 9,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.18 : 20,176.74 = 6,409.82 : x
  2. Step 2: Convert to fraction form
    13,451.18/20,176.74 = 6,409.82/x
  3. Step 3: Cross multiply
    13,451.18x = 20,176.74 × 6,409.82
  4. Step 4: Simplify right side
    13,451.18x = 129,329,271.59
  5. Step 5: Solve for x
    x = 129,329,271.59/13,451.18
  6. Step 6: Final answer
    x = 9,614.72

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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.