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Finding the Fourth Proportional to 12,305.10, 18,457.65 and 4,512.90

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Solution

The fourth proportional to 12,305.10, 18,457.65 and 4,512.90 is: 6,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.10 : 18,457.65 = 4,512.90 : x
  2. Step 2: Convert to fraction form
    12,305.10/18,457.65 = 4,512.90/x
  3. Step 3: Cross multiply
    12,305.10x = 18,457.65 × 4,512.90
  4. Step 4: Simplify right side
    12,305.10x = 83,297,528.69
  5. Step 5: Solve for x
    x = 83,297,528.69/12,305.10
  6. Step 6: Final answer
    x = 6,769.35

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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.