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Finding the Fourth Proportional to 12,457.42, 18,686.08 and 4,138.06

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Solution

The fourth proportional to 12,457.42, 18,686.08 and 4,138.06 is: 6,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.42 : 18,686.08 = 4,138.06 : x
  2. Step 2: Convert to fraction form
    12,457.42/18,686.08 = 4,138.06/x
  3. Step 3: Cross multiply
    12,457.42x = 18,686.08 × 4,138.06
  4. Step 4: Simplify right side
    12,457.42x = 77,324,120.20
  5. Step 5: Solve for x
    x = 77,324,120.20/12,457.42
  6. Step 6: Final answer
    x = 6,207.07

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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.