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Finding the Fourth Proportional to 14,072.22, 21,114 and 5,309.64

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Solution

The fourth proportional to 14,072.22, 21,114 and 5,309.64 is: 7,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.22 : 21,114 = 5,309.64 : x
  2. Step 2: Convert to fraction form
    14,072.22/21,114 = 5,309.64/x
  3. Step 3: Cross multiply
    14,072.22x = 21,114 × 5,309.64
  4. Step 4: Simplify right side
    14,072.22x = 112,107,738.96
  5. Step 5: Solve for x
    x = 112,107,738.96/14,072.22
  6. Step 6: Final answer
    x = 7,966.60

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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.