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Finding the Fourth Proportional to 13,832.94, 19,089.46 and 7,864.46

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Solution

The fourth proportional to 13,832.94, 19,089.46 and 7,864.46 is: 10,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.94 : 19,089.46 = 7,864.46 : x
  2. Step 2: Convert to fraction form
    13,832.94/19,089.46 = 7,864.46/x
  3. Step 3: Cross multiply
    13,832.94x = 19,089.46 × 7,864.46
  4. Step 4: Simplify right side
    13,832.94x = 150,128,294.59
  5. Step 5: Solve for x
    x = 150,128,294.59/13,832.94
  6. Step 6: Final answer
    x = 10,852.96

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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.