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Finding the Fourth Proportional to 31,884.38, 47,822.94 and 8,509

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Solution

The fourth proportional to 31,884.38, 47,822.94 and 8,509 is: 12,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.38 : 47,822.94 = 8,509 : x
  2. Step 2: Convert to fraction form
    31,884.38/47,822.94 = 8,509/x
  3. Step 3: Cross multiply
    31,884.38x = 47,822.94 × 8,509
  4. Step 4: Simplify right side
    31,884.38x = 406,925,396.46
  5. Step 5: Solve for x
    x = 406,925,396.46/31,884.38
  6. Step 6: Final answer
    x = 12,762.53

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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.