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Finding the Fourth Proportional to 22,513.42, 33,762.03 and 7,718.37

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Solution

The fourth proportional to 22,513.42, 33,762.03 and 7,718.37 is: 11,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.42 : 33,762.03 = 7,718.37 : x
  2. Step 2: Convert to fraction form
    22,513.42/33,762.03 = 7,718.37/x
  3. Step 3: Cross multiply
    22,513.42x = 33,762.03 × 7,718.37
  4. Step 4: Simplify right side
    22,513.42x = 260,587,839.49
  5. Step 5: Solve for x
    x = 260,587,839.49/22,513.42
  6. Step 6: Final answer
    x = 11,574.78

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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.