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Finding the Fourth Proportional to 14,407.98, 19,883.22 and 8,120.34

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Solution

The fourth proportional to 14,407.98, 19,883.22 and 8,120.34 is: 11,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.98 : 19,883.22 = 8,120.34 : x
  2. Step 2: Convert to fraction form
    14,407.98/19,883.22 = 8,120.34/x
  3. Step 3: Cross multiply
    14,407.98x = 19,883.22 × 8,120.34
  4. Step 4: Simplify right side
    14,407.98x = 161,458,506.69
  5. Step 5: Solve for x
    x = 161,458,506.69/14,407.98
  6. Step 6: Final answer
    x = 11,206.19

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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.