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Finding the Fourth Proportional to 14,825.25, 22,243.04 and 7,428.06

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Solution

The fourth proportional to 14,825.25, 22,243.04 and 7,428.06 is: 11,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.25 : 22,243.04 = 7,428.06 : x
  2. Step 2: Convert to fraction form
    14,825.25/22,243.04 = 7,428.06/x
  3. Step 3: Cross multiply
    14,825.25x = 22,243.04 × 7,428.06
  4. Step 4: Simplify right side
    14,825.25x = 165,222,598.56
  5. Step 5: Solve for x
    x = 165,222,598.56/14,825.25
  6. Step 6: Final answer
    x = 11,144.68

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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.