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Finding the Fourth Proportional to 13,705.16, 20,554.14 and 5,912.24

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Solution

The fourth proportional to 13,705.16, 20,554.14 and 5,912.24 is: 8,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.16 : 20,554.14 = 5,912.24 : x
  2. Step 2: Convert to fraction form
    13,705.16/20,554.14 = 5,912.24/x
  3. Step 3: Cross multiply
    13,705.16x = 20,554.14 × 5,912.24
  4. Step 4: Simplify right side
    13,705.16x = 121,520,979.11
  5. Step 5: Solve for x
    x = 121,520,979.11/13,705.16
  6. Step 6: Final answer
    x = 8,866.80

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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.