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Finding the Fourth Proportional to 18,416.57, 25,414.86 and 10,460.00

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Solution

The fourth proportional to 18,416.57, 25,414.86 and 10,460.00 is: 14,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416.57 : 25,414.86 = 10,460.00 : x
  2. Step 2: Convert to fraction form
    18,416.57/25,414.86 = 10,460.00/x
  3. Step 3: Cross multiply
    18,416.57x = 25,414.86 × 10,460.00
  4. Step 4: Simplify right side
    18,416.57x = 265,839,538.36
  5. Step 5: Solve for x
    x = 265,839,538.36/18,416.57
  6. Step 6: Final answer
    x = 14,434.81

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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.