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Finding the Fourth Proportional to 14,407.88, 19,883.48 and 8,120.25

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Solution

The fourth proportional to 14,407.88, 19,883.48 and 8,120.25 is: 11,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.88 : 19,883.48 = 8,120.25 : x
  2. Step 2: Convert to fraction form
    14,407.88/19,883.48 = 8,120.25/x
  3. Step 3: Cross multiply
    14,407.88x = 19,883.48 × 8,120.25
  4. Step 4: Simplify right side
    14,407.88x = 161,458,787.87
  5. Step 5: Solve for x
    x = 161,458,787.87/14,407.88
  6. Step 6: Final answer
    x = 11,206.29

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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.