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Finding the Fourth Proportional to 13,903.74, 20,852.37 and 6,513.30

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Solution

The fourth proportional to 13,903.74, 20,852.37 and 6,513.30 is: 9,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.74 : 20,852.37 = 6,513.30 : x
  2. Step 2: Convert to fraction form
    13,903.74/20,852.37 = 6,513.30/x
  3. Step 3: Cross multiply
    13,903.74x = 20,852.37 × 6,513.30
  4. Step 4: Simplify right side
    13,903.74x = 135,817,741.52
  5. Step 5: Solve for x
    x = 135,817,741.52/13,903.74
  6. Step 6: Final answer
    x = 9,768.43

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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.