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Finding the Fourth Proportional to 31,317, 46,977.72 and 12,597.14

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Solution

The fourth proportional to 31,317, 46,977.72 and 12,597.14 is: 18,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,317 : 46,977.72 = 12,597.14 : x
  2. Step 2: Convert to fraction form
    31,317/46,977.72 = 12,597.14/x
  3. Step 3: Cross multiply
    31,317x = 46,977.72 × 12,597.14
  4. Step 4: Simplify right side
    31,317x = 591,784,915.72
  5. Step 5: Solve for x
    x = 591,784,915.72/31,317
  6. Step 6: Final answer
    x = 18,896.60

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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.