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Finding the Fourth Proportional to 12,966.20, 19,449.30 and 4,201.40

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Solution

The fourth proportional to 12,966.20, 19,449.30 and 4,201.40 is: 6,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.20 : 19,449.30 = 4,201.40 : x
  2. Step 2: Convert to fraction form
    12,966.20/19,449.30 = 4,201.40/x
  3. Step 3: Cross multiply
    12,966.20x = 19,449.30 × 4,201.40
  4. Step 4: Simplify right side
    12,966.20x = 81,714,289.02
  5. Step 5: Solve for x
    x = 81,714,289.02/12,966.20
  6. Step 6: Final answer
    x = 6,302.10

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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.