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Finding the Fourth Proportional to 14,432.94, 21,634.56 and 7,857.36

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Solution

The fourth proportional to 14,432.94, 21,634.56 and 7,857.36 is: 11,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.94 : 21,634.56 = 7,857.36 : x
  2. Step 2: Convert to fraction form
    14,432.94/21,634.56 = 7,857.36/x
  3. Step 3: Cross multiply
    14,432.94x = 21,634.56 × 7,857.36
  4. Step 4: Simplify right side
    14,432.94x = 169,990,526.36
  5. Step 5: Solve for x
    x = 169,990,526.36/14,432.94
  6. Step 6: Final answer
    x = 11,777.96

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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.