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Finding the Fourth Proportional to 13,851, 20,776.50 and 6,059.81

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Solution

The fourth proportional to 13,851, 20,776.50 and 6,059.81 is: 9,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 20,776.50 = 6,059.81 : x
  2. Step 2: Convert to fraction form
    13,851/20,776.50 = 6,059.81/x
  3. Step 3: Cross multiply
    13,851x = 20,776.50 × 6,059.81
  4. Step 4: Simplify right side
    13,851x = 125,901,694.41
  5. Step 5: Solve for x
    x = 125,901,694.41/13,851
  6. Step 6: Final answer
    x = 9,089.72

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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.