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Finding the Fourth Proportional to 13,702.96, 20,554.44 and 3,314.71

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Solution

The fourth proportional to 13,702.96, 20,554.44 and 3,314.71 is: 4,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.96 : 20,554.44 = 3,314.71 : x
  2. Step 2: Convert to fraction form
    13,702.96/20,554.44 = 3,314.71/x
  3. Step 3: Cross multiply
    13,702.96x = 20,554.44 × 3,314.71
  4. Step 4: Simplify right side
    13,702.96x = 68,132,007.81
  5. Step 5: Solve for x
    x = 68,132,007.81/13,702.96
  6. Step 6: Final answer
    x = 4,972.07

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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.