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Finding the Fourth Proportional to 14,824.92, 22,226.89 and 7,424.07

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Solution

The fourth proportional to 14,824.92, 22,226.89 and 7,424.07 is: 11,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.92 : 22,226.89 = 7,424.07 : x
  2. Step 2: Convert to fraction form
    14,824.92/22,226.89 = 7,424.07/x
  3. Step 3: Cross multiply
    14,824.92x = 22,226.89 × 7,424.07
  4. Step 4: Simplify right side
    14,824.92x = 165,013,987.24
  5. Step 5: Solve for x
    x = 165,013,987.24/14,824.92
  6. Step 6: Final answer
    x = 11,130.85

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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.