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Finding the Fourth Proportional to 25,154.64, 37,729.79 and 8,514.32

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Solution

The fourth proportional to 25,154.64, 37,729.79 and 8,514.32 is: 12,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154.64 : 37,729.79 = 8,514.32 : x
  2. Step 2: Convert to fraction form
    25,154.64/37,729.79 = 8,514.32/x
  3. Step 3: Cross multiply
    25,154.64x = 37,729.79 × 8,514.32
  4. Step 4: Simplify right side
    25,154.64x = 321,243,274.37
  5. Step 5: Solve for x
    x = 321,243,274.37/25,154.64
  6. Step 6: Final answer
    x = 12,770.74

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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.