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Finding the Fourth Proportional to 14,842, 22,243.56 and 8,271.28

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Solution

The fourth proportional to 14,842, 22,243.56 and 8,271.28 is: 12,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842 : 22,243.56 = 8,271.28 : x
  2. Step 2: Convert to fraction form
    14,842/22,243.56 = 8,271.28/x
  3. Step 3: Cross multiply
    14,842x = 22,243.56 × 8,271.28
  4. Step 4: Simplify right side
    14,842x = 183,982,712.96
  5. Step 5: Solve for x
    x = 183,982,712.96/14,842
  6. Step 6: Final answer
    x = 12,396.09

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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.