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Finding the Fourth Proportional to 25,054.34, 37,585.82 and 8,415.96

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Solution

The fourth proportional to 25,054.34, 37,585.82 and 8,415.96 is: 12,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.34 : 37,585.82 = 8,415.96 : x
  2. Step 2: Convert to fraction form
    25,054.34/37,585.82 = 8,415.96/x
  3. Step 3: Cross multiply
    25,054.34x = 37,585.82 × 8,415.96
  4. Step 4: Simplify right side
    25,054.34x = 316,320,757.69
  5. Step 5: Solve for x
    x = 316,320,757.69/25,054.34
  6. Step 6: Final answer
    x = 12,625.39

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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.