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Finding the Fourth Proportional to 14,186.31, 21,257.50 and 9,746.11

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Solution

The fourth proportional to 14,186.31, 21,257.50 and 9,746.11 is: 14,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.31 : 21,257.50 = 9,746.11 : x
  2. Step 2: Convert to fraction form
    14,186.31/21,257.50 = 9,746.11/x
  3. Step 3: Cross multiply
    14,186.31x = 21,257.50 × 9,746.11
  4. Step 4: Simplify right side
    14,186.31x = 207,177,933.33
  5. Step 5: Solve for x
    x = 207,177,933.33/14,186.31
  6. Step 6: Final answer
    x = 14,604.07

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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.