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Finding the Fourth Proportional to 25,191.46, 37,792.65 and 7,660.83

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Solution

The fourth proportional to 25,191.46, 37,792.65 and 7,660.83 is: 11,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191.46 : 37,792.65 = 7,660.83 : x
  2. Step 2: Convert to fraction form
    25,191.46/37,792.65 = 7,660.83/x
  3. Step 3: Cross multiply
    25,191.46x = 37,792.65 × 7,660.83
  4. Step 4: Simplify right side
    25,191.46x = 289,523,003.22
  5. Step 5: Solve for x
    x = 289,523,003.22/25,191.46
  6. Step 6: Final answer
    x = 11,492.90

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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.