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Finding the Fourth Proportional to 18,414.72, 25,412.61 and 10,457.16

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Solution

The fourth proportional to 18,414.72, 25,412.61 and 10,457.16 is: 14,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.72 : 25,412.61 = 10,457.16 : x
  2. Step 2: Convert to fraction form
    18,414.72/25,412.61 = 10,457.16/x
  3. Step 3: Cross multiply
    18,414.72x = 25,412.61 × 10,457.16
  4. Step 4: Simplify right side
    18,414.72x = 265,743,728.79
  5. Step 5: Solve for x
    x = 265,743,728.79/18,414.72
  6. Step 6: Final answer
    x = 14,431.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.