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Finding the Fourth Proportional to 14,230.31, 19,637.51 and 8,261.82

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Solution

The fourth proportional to 14,230.31, 19,637.51 and 8,261.82 is: 11,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.31 : 19,637.51 = 8,261.82 : x
  2. Step 2: Convert to fraction form
    14,230.31/19,637.51 = 8,261.82/x
  3. Step 3: Cross multiply
    14,230.31x = 19,637.51 × 8,261.82
  4. Step 4: Simplify right side
    14,230.31x = 162,241,531.56
  5. Step 5: Solve for x
    x = 162,241,531.56/14,230.31
  6. Step 6: Final answer
    x = 11,401.13

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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.