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Finding the Fourth Proportional to 13,497.28, 18,628.08 and 7,832.14

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Solution

The fourth proportional to 13,497.28, 18,628.08 and 7,832.14 is: 10,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.28 : 18,628.08 = 7,832.14 : x
  2. Step 2: Convert to fraction form
    13,497.28/18,628.08 = 7,832.14/x
  3. Step 3: Cross multiply
    13,497.28x = 18,628.08 × 7,832.14
  4. Step 4: Simplify right side
    13,497.28x = 145,897,730.49
  5. Step 5: Solve for x
    x = 145,897,730.49/13,497.28
  6. Step 6: Final answer
    x = 10,809.42

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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.