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Finding the Fourth Proportional to 21,405.95, 29,568.45 and 16,431.64

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Solution

The fourth proportional to 21,405.95, 29,568.45 and 16,431.64 is: 22,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.95 : 29,568.45 = 16,431.64 : x
  2. Step 2: Convert to fraction form
    21,405.95/29,568.45 = 16,431.64/x
  3. Step 3: Cross multiply
    21,405.95x = 29,568.45 × 16,431.64
  4. Step 4: Simplify right side
    21,405.95x = 485,858,125.76
  5. Step 5: Solve for x
    x = 485,858,125.76/21,405.95
  6. Step 6: Final answer
    x = 22,697.34

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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.