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Finding the Fourth Proportional to 14,300.92, 19,735.78 and 8,634.56

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Solution

The fourth proportional to 14,300.92, 19,735.78 and 8,634.56 is: 11,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300.92 : 19,735.78 = 8,634.56 : x
  2. Step 2: Convert to fraction form
    14,300.92/19,735.78 = 8,634.56/x
  3. Step 3: Cross multiply
    14,300.92x = 19,735.78 × 8,634.56
  4. Step 4: Simplify right side
    14,300.92x = 170,409,776.56
  5. Step 5: Solve for x
    x = 170,409,776.56/14,300.92
  6. Step 6: Final answer
    x = 11,916.00

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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.