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Finding the Fourth Proportional to 18,422.64, 25,422.90 and 10,464.78

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Solution

The fourth proportional to 18,422.64, 25,422.90 and 10,464.78 is: 14,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422.64 : 25,422.90 = 10,464.78 : x
  2. Step 2: Convert to fraction form
    18,422.64/25,422.90 = 10,464.78/x
  3. Step 3: Cross multiply
    18,422.64x = 25,422.90 × 10,464.78
  4. Step 4: Simplify right side
    18,422.64x = 266,045,055.46
  5. Step 5: Solve for x
    x = 266,045,055.46/18,422.64
  6. Step 6: Final answer
    x = 14,441.20

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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.