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Finding the Fourth Proportional to 13,705.26, 20,554.65 and 6,305.10

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Solution

The fourth proportional to 13,705.26, 20,554.65 and 6,305.10 is: 9,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.26 : 20,554.65 = 6,305.10 : x
  2. Step 2: Convert to fraction form
    13,705.26/20,554.65 = 6,305.10/x
  3. Step 3: Cross multiply
    13,705.26x = 20,554.65 × 6,305.10
  4. Step 4: Simplify right side
    13,705.26x = 129,599,123.72
  5. Step 5: Solve for x
    x = 129,599,123.72/13,705.26
  6. Step 6: Final answer
    x = 9,456.16

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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.