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Finding the Fourth Proportional to 13,698.90, 20,554.20 and 6,685.11

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Solution

The fourth proportional to 13,698.90, 20,554.20 and 6,685.11 is: 10,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.90 : 20,554.20 = 6,685.11 : x
  2. Step 2: Convert to fraction form
    13,698.90/20,554.20 = 6,685.11/x
  3. Step 3: Cross multiply
    13,698.90x = 20,554.20 × 6,685.11
  4. Step 4: Simplify right side
    13,698.90x = 137,407,087.96
  5. Step 5: Solve for x
    x = 137,407,087.96/13,698.90
  6. Step 6: Final answer
    x = 10,030.52

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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.