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Finding the Fourth Proportional to 12,283.02, 18,428.17 and 5,713.10

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Solution

The fourth proportional to 12,283.02, 18,428.17 and 5,713.10 is: 8,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.02 : 18,428.17 = 5,713.10 : x
  2. Step 2: Convert to fraction form
    12,283.02/18,428.17 = 5,713.10/x
  3. Step 3: Cross multiply
    12,283.02x = 18,428.17 × 5,713.10
  4. Step 4: Simplify right side
    12,283.02x = 105,281,978.03
  5. Step 5: Solve for x
    x = 105,281,978.03/12,283.02
  6. Step 6: Final answer
    x = 8,571.34

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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.