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Finding the Fourth Proportional to 12,356.28, 18,534.42 and 4,148.28

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Solution

The fourth proportional to 12,356.28, 18,534.42 and 4,148.28 is: 6,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.28 : 18,534.42 = 4,148.28 : x
  2. Step 2: Convert to fraction form
    12,356.28/18,534.42 = 4,148.28/x
  3. Step 3: Cross multiply
    12,356.28x = 18,534.42 × 4,148.28
  4. Step 4: Simplify right side
    12,356.28x = 76,885,963.80
  5. Step 5: Solve for x
    x = 76,885,963.80/12,356.28
  6. Step 6: Final answer
    x = 6,222.42

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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.