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Finding the Fourth Proportional to 13,157.28, 18,148.56 and 7,848

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Solution

The fourth proportional to 13,157.28, 18,148.56 and 7,848 is: 10,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.28 : 18,148.56 = 7,848 : x
  2. Step 2: Convert to fraction form
    13,157.28/18,148.56 = 7,848/x
  3. Step 3: Cross multiply
    13,157.28x = 18,148.56 × 7,848
  4. Step 4: Simplify right side
    13,157.28x = 142,429,898.88
  5. Step 5: Solve for x
    x = 142,429,898.88/13,157.28
  6. Step 6: Final answer
    x = 10,825.18

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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.