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Finding the Fourth Proportional to 20,830.42, 31,245.54 and 5,248

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Solution

The fourth proportional to 20,830.42, 31,245.54 and 5,248 is: 7,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.42 : 31,245.54 = 5,248 : x
  2. Step 2: Convert to fraction form
    20,830.42/31,245.54 = 5,248/x
  3. Step 3: Cross multiply
    20,830.42x = 31,245.54 × 5,248
  4. Step 4: Simplify right side
    20,830.42x = 163,976,593.92
  5. Step 5: Solve for x
    x = 163,976,593.92/20,830.42
  6. Step 6: Final answer
    x = 7,871.98

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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.