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Finding the Fourth Proportional to 21,840.64, 30,137.44 and 12,406.56

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Solution

The fourth proportional to 21,840.64, 30,137.44 and 12,406.56 is: 17,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,840.64 : 30,137.44 = 12,406.56 : x
  2. Step 2: Convert to fraction form
    21,840.64/30,137.44 = 12,406.56/x
  3. Step 3: Cross multiply
    21,840.64x = 30,137.44 × 12,406.56
  4. Step 4: Simplify right side
    21,840.64x = 373,901,957.61
  5. Step 5: Solve for x
    x = 373,901,957.61/21,840.64
  6. Step 6: Final answer
    x = 17,119.55

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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.