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Finding the Fourth Proportional to 13,435.14, 20,156.12 and 7,893.16

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Solution

The fourth proportional to 13,435.14, 20,156.12 and 7,893.16 is: 11,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.14 : 20,156.12 = 7,893.16 : x
  2. Step 2: Convert to fraction form
    13,435.14/20,156.12 = 7,893.16/x
  3. Step 3: Cross multiply
    13,435.14x = 20,156.12 × 7,893.16
  4. Step 4: Simplify right side
    13,435.14x = 159,095,480.14
  5. Step 5: Solve for x
    x = 159,095,480.14/13,435.14
  6. Step 6: Final answer
    x = 11,841.74

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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.