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Finding the Fourth Proportional to 13,548.35, 20,313.84 and 6,514.35

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Solution

The fourth proportional to 13,548.35, 20,313.84 and 6,514.35 is: 9,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.35 : 20,313.84 = 6,514.35 : x
  2. Step 2: Convert to fraction form
    13,548.35/20,313.84 = 6,514.35/x
  3. Step 3: Cross multiply
    13,548.35x = 20,313.84 × 6,514.35
  4. Step 4: Simplify right side
    13,548.35x = 132,331,463.60
  5. Step 5: Solve for x
    x = 132,331,463.60/13,548.35
  6. Step 6: Final answer
    x = 9,767.35

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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.