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Finding the Fourth Proportional to 22,756.84, 34,150.64 and 7,965.88

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Solution

The fourth proportional to 22,756.84, 34,150.64 and 7,965.88 is: 11,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756.84 : 34,150.64 = 7,965.88 : x
  2. Step 2: Convert to fraction form
    22,756.84/34,150.64 = 7,965.88/x
  3. Step 3: Cross multiply
    22,756.84x = 34,150.64 × 7,965.88
  4. Step 4: Simplify right side
    22,756.84x = 272,039,900.16
  5. Step 5: Solve for x
    x = 272,039,900.16/22,756.84
  6. Step 6: Final answer
    x = 11,954.20

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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.