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Finding the Fourth Proportional to 13,966.40, 20,949.60 and 12,897.20

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Solution

The fourth proportional to 13,966.40, 20,949.60 and 12,897.20 is: 19,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.40 : 20,949.60 = 12,897.20 : x
  2. Step 2: Convert to fraction form
    13,966.40/20,949.60 = 12,897.20/x
  3. Step 3: Cross multiply
    13,966.40x = 20,949.60 × 12,897.20
  4. Step 4: Simplify right side
    13,966.40x = 270,191,181.12
  5. Step 5: Solve for x
    x = 270,191,181.12/13,966.40
  6. Step 6: Final answer
    x = 19,345.80

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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.