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Finding the Fourth Proportional to 14,882.96, 22,324.53 and 5,022.32

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Solution

The fourth proportional to 14,882.96, 22,324.53 and 5,022.32 is: 7,533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.96 : 22,324.53 = 5,022.32 : x
  2. Step 2: Convert to fraction form
    14,882.96/22,324.53 = 5,022.32/x
  3. Step 3: Cross multiply
    14,882.96x = 22,324.53 × 5,022.32
  4. Step 4: Simplify right side
    14,882.96x = 112,120,933.51
  5. Step 5: Solve for x
    x = 112,120,933.51/14,882.96
  6. Step 6: Final answer
    x = 7,533.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.