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Finding the Fourth Proportional to 25,134.32, 37,682.04 and 16,814

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Solution

The fourth proportional to 25,134.32, 37,682.04 and 16,814 is: 25,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134.32 : 37,682.04 = 16,814 : x
  2. Step 2: Convert to fraction form
    25,134.32/37,682.04 = 16,814/x
  3. Step 3: Cross multiply
    25,134.32x = 37,682.04 × 16,814
  4. Step 4: Simplify right side
    25,134.32x = 633,585,820.56
  5. Step 5: Solve for x
    x = 633,585,820.56/25,134.32
  6. Step 6: Final answer
    x = 25,208.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.