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Finding the Fourth Proportional to 25,180.86, 37,771.68 and 6,460.50

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Solution

The fourth proportional to 25,180.86, 37,771.68 and 6,460.50 is: 9,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,180.86 : 37,771.68 = 6,460.50 : x
  2. Step 2: Convert to fraction form
    25,180.86/37,771.68 = 6,460.50/x
  3. Step 3: Cross multiply
    25,180.86x = 37,771.68 × 6,460.50
  4. Step 4: Simplify right side
    25,180.86x = 244,023,938.64
  5. Step 5: Solve for x
    x = 244,023,938.64/25,180.86
  6. Step 6: Final answer
    x = 9,690.85

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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.