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Finding the Fourth Proportional to 22,744.40, 34,132.23 and 7,953.35

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Solution

The fourth proportional to 22,744.40, 34,132.23 and 7,953.35 is: 11,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.40 : 34,132.23 = 7,953.35 : x
  2. Step 2: Convert to fraction form
    22,744.40/34,132.23 = 7,953.35/x
  3. Step 3: Cross multiply
    22,744.40x = 34,132.23 × 7,953.35
  4. Step 4: Simplify right side
    22,744.40x = 271,465,400.81
  5. Step 5: Solve for x
    x = 271,465,400.81/22,744.40
  6. Step 6: Final answer
    x = 11,935.49

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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.