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Finding the Fourth Proportional to 25,290.60, 37,927.74 and 8,419.12

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Solution

The fourth proportional to 25,290.60, 37,927.74 and 8,419.12 is: 12,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,290.60 : 37,927.74 = 8,419.12 : x
  2. Step 2: Convert to fraction form
    25,290.60/37,927.74 = 8,419.12/x
  3. Step 3: Cross multiply
    25,290.60x = 37,927.74 × 8,419.12
  4. Step 4: Simplify right side
    25,290.60x = 319,318,194.39
  5. Step 5: Solve for x
    x = 319,318,194.39/25,290.60
  6. Step 6: Final answer
    x = 12,625.96

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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.