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Finding the Fourth Proportional to 21,686.42, 29,927.94 and 12,255.60

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Solution

The fourth proportional to 21,686.42, 29,927.94 and 12,255.60 is: 16,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.42 : 29,927.94 = 12,255.60 : x
  2. Step 2: Convert to fraction form
    21,686.42/29,927.94 = 12,255.60/x
  3. Step 3: Cross multiply
    21,686.42x = 29,927.94 × 12,255.60
  4. Step 4: Simplify right side
    21,686.42x = 366,784,861.46
  5. Step 5: Solve for x
    x = 366,784,861.46/21,686.42
  6. Step 6: Final answer
    x = 16,913.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.