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Finding the Fourth Proportional to 25,464.96, 35,139.84 and 14,288.64

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Solution

The fourth proportional to 25,464.96, 35,139.84 and 14,288.64 is: 19,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464.96 : 35,139.84 = 14,288.64 : x
  2. Step 2: Convert to fraction form
    25,464.96/35,139.84 = 14,288.64/x
  3. Step 3: Cross multiply
    25,464.96x = 35,139.84 × 14,288.64
  4. Step 4: Simplify right side
    25,464.96x = 502,100,523.42
  5. Step 5: Solve for x
    x = 502,100,523.42/25,464.96
  6. Step 6: Final answer
    x = 19,717.31

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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.