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Finding the Fourth Proportional to 13,428.86, 20,131.74 and 4,662.63

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Solution

The fourth proportional to 13,428.86, 20,131.74 and 4,662.63 is: 6,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.86 : 20,131.74 = 4,662.63 : x
  2. Step 2: Convert to fraction form
    13,428.86/20,131.74 = 4,662.63/x
  3. Step 3: Cross multiply
    13,428.86x = 20,131.74 × 4,662.63
  4. Step 4: Simplify right side
    13,428.86x = 93,866,854.88
  5. Step 5: Solve for x
    x = 93,866,854.88/13,428.86
  6. Step 6: Final answer
    x = 6,989.94

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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.