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Finding the Fourth Proportional to 12,660.10, 18,994.20 and 5,637.40

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Solution

The fourth proportional to 12,660.10, 18,994.20 and 5,637.40 is: 8,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660.10 : 18,994.20 = 5,637.40 : x
  2. Step 2: Convert to fraction form
    12,660.10/18,994.20 = 5,637.40/x
  3. Step 3: Cross multiply
    12,660.10x = 18,994.20 × 5,637.40
  4. Step 4: Simplify right side
    12,660.10x = 107,077,903.08
  5. Step 5: Solve for x
    x = 107,077,903.08/12,660.10
  6. Step 6: Final answer
    x = 8,457.90

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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.