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Finding the Fourth Proportional to 25,106.68, 37,633.74 and 8,460.96

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Solution

The fourth proportional to 25,106.68, 37,633.74 and 8,460.96 is: 12,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,106.68 : 37,633.74 = 8,460.96 : x
  2. Step 2: Convert to fraction form
    25,106.68/37,633.74 = 8,460.96/x
  3. Step 3: Cross multiply
    25,106.68x = 37,633.74 × 8,460.96
  4. Step 4: Simplify right side
    25,106.68x = 318,417,568.79
  5. Step 5: Solve for x
    x = 318,417,568.79/25,106.68
  6. Step 6: Final answer
    x = 12,682.58

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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.