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Finding the Fourth Proportional to 13,702.16, 20,551.73 and 3,841.83

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Solution

The fourth proportional to 13,702.16, 20,551.73 and 3,841.83 is: 5,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.16 : 20,551.73 = 3,841.83 : x
  2. Step 2: Convert to fraction form
    13,702.16/20,551.73 = 3,841.83/x
  3. Step 3: Cross multiply
    13,702.16x = 20,551.73 × 3,841.83
  4. Step 4: Simplify right side
    13,702.16x = 78,956,233.66
  5. Step 5: Solve for x
    x = 78,956,233.66/13,702.16
  6. Step 6: Final answer
    x = 5,762.32

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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.