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Finding the Fourth Proportional to 20,878.92, 31,330.53 and 7,740.45

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Solution

The fourth proportional to 20,878.92, 31,330.53 and 7,740.45 is: 11,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.92 : 31,330.53 = 7,740.45 : x
  2. Step 2: Convert to fraction form
    20,878.92/31,330.53 = 7,740.45/x
  3. Step 3: Cross multiply
    20,878.92x = 31,330.53 × 7,740.45
  4. Step 4: Simplify right side
    20,878.92x = 242,512,400.94
  5. Step 5: Solve for x
    x = 242,512,400.94/20,878.92
  6. Step 6: Final answer
    x = 11,615.18

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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.