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Finding the Fourth Proportional to 14,271.16, 19,694.94 and 8,222.32

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Solution

The fourth proportional to 14,271.16, 19,694.94 and 8,222.32 is: 11,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.16 : 19,694.94 = 8,222.32 : x
  2. Step 2: Convert to fraction form
    14,271.16/19,694.94 = 8,222.32/x
  3. Step 3: Cross multiply
    14,271.16x = 19,694.94 × 8,222.32
  4. Step 4: Simplify right side
    14,271.16x = 161,938,099.06
  5. Step 5: Solve for x
    x = 161,938,099.06/14,271.16
  6. Step 6: Final answer
    x = 11,347.23

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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.