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Finding the Fourth Proportional to 25,342.80, 38,014.20 and 7,812.60

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Solution

The fourth proportional to 25,342.80, 38,014.20 and 7,812.60 is: 11,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,342.80 : 38,014.20 = 7,812.60 : x
  2. Step 2: Convert to fraction form
    25,342.80/38,014.20 = 7,812.60/x
  3. Step 3: Cross multiply
    25,342.80x = 38,014.20 × 7,812.60
  4. Step 4: Simplify right side
    25,342.80x = 296,989,738.92
  5. Step 5: Solve for x
    x = 296,989,738.92/25,342.80
  6. Step 6: Final answer
    x = 11,718.90

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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.