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Finding the Fourth Proportional to 13,702.34, 20,553.54 and 3,314.12

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Solution

The fourth proportional to 13,702.34, 20,553.54 and 3,314.12 is: 4,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.34 : 20,553.54 = 3,314.12 : x
  2. Step 2: Convert to fraction form
    13,702.34/20,553.54 = 3,314.12/x
  3. Step 3: Cross multiply
    13,702.34x = 20,553.54 × 3,314.12
  4. Step 4: Simplify right side
    13,702.34x = 68,116,897.98
  5. Step 5: Solve for x
    x = 68,116,897.98/13,702.34
  6. Step 6: Final answer
    x = 4,971.19

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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.