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Finding the Fourth Proportional to 13,812.10, 20,702.07 and 7,893.14

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Solution

The fourth proportional to 13,812.10, 20,702.07 and 7,893.14 is: 11,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.10 : 20,702.07 = 7,893.14 : x
  2. Step 2: Convert to fraction form
    13,812.10/20,702.07 = 7,893.14/x
  3. Step 3: Cross multiply
    13,812.10x = 20,702.07 × 7,893.14
  4. Step 4: Simplify right side
    13,812.10x = 163,404,233.29
  5. Step 5: Solve for x
    x = 163,404,233.29/13,812.10
  6. Step 6: Final answer
    x = 11,830.52

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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.