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Finding the Fourth Proportional to 12,967.64, 19,446.54 and 4,200.20

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Solution

The fourth proportional to 12,967.64, 19,446.54 and 4,200.20 is: 6,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.64 : 19,446.54 = 4,200.20 : x
  2. Step 2: Convert to fraction form
    12,967.64/19,446.54 = 4,200.20/x
  3. Step 3: Cross multiply
    12,967.64x = 19,446.54 × 4,200.20
  4. Step 4: Simplify right side
    12,967.64x = 81,679,260.08
  5. Step 5: Solve for x
    x = 81,679,260.08/12,967.64
  6. Step 6: Final answer
    x = 6,298.70

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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.