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Finding the Fourth Proportional to 13,406.58, 20,111.70 and 4,639.14

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Solution

The fourth proportional to 13,406.58, 20,111.70 and 4,639.14 is: 6,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.58 : 20,111.70 = 4,639.14 : x
  2. Step 2: Convert to fraction form
    13,406.58/20,111.70 = 4,639.14/x
  3. Step 3: Cross multiply
    13,406.58x = 20,111.70 × 4,639.14
  4. Step 4: Simplify right side
    13,406.58x = 93,300,991.94
  5. Step 5: Solve for x
    x = 93,300,991.94/13,406.58
  6. Step 6: Final answer
    x = 6,959.34

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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.