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Finding the Fourth Proportional to 23,922, 35,891.64 and 7,506

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Solution

The fourth proportional to 23,922, 35,891.64 and 7,506 is: 11,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922 : 35,891.64 = 7,506 : x
  2. Step 2: Convert to fraction form
    23,922/35,891.64 = 7,506/x
  3. Step 3: Cross multiply
    23,922x = 35,891.64 × 7,506
  4. Step 4: Simplify right side
    23,922x = 269,402,649.84
  5. Step 5: Solve for x
    x = 269,402,649.84/23,922
  6. Step 6: Final answer
    x = 11,261.71

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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.