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Finding the Fourth Proportional to 18,460.64, 25,475.70 and 10,077.14

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Solution

The fourth proportional to 18,460.64, 25,475.70 and 10,077.14 is: 13,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,460.64 : 25,475.70 = 10,077.14 : x
  2. Step 2: Convert to fraction form
    18,460.64/25,475.70 = 10,077.14/x
  3. Step 3: Cross multiply
    18,460.64x = 25,475.70 × 10,077.14
  4. Step 4: Simplify right side
    18,460.64x = 256,722,195.50
  5. Step 5: Solve for x
    x = 256,722,195.50/18,460.64
  6. Step 6: Final answer
    x = 13,906.46

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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.