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Finding the Fourth Proportional to 21,188.64, 31,782.84 and 5,177.99

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Solution

The fourth proportional to 21,188.64, 31,782.84 and 5,177.99 is: 7,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.64 : 31,782.84 = 5,177.99 : x
  2. Step 2: Convert to fraction form
    21,188.64/31,782.84 = 5,177.99/x
  3. Step 3: Cross multiply
    21,188.64x = 31,782.84 × 5,177.99
  4. Step 4: Simplify right side
    21,188.64x = 164,571,068.78
  5. Step 5: Solve for x
    x = 164,571,068.78/21,188.64
  6. Step 6: Final answer
    x = 7,766.95

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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.