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Finding the Fourth Proportional to 23,918, 35,882.76 and 7,502

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Solution

The fourth proportional to 23,918, 35,882.76 and 7,502 is: 11,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,918 : 35,882.76 = 7,502 : x
  2. Step 2: Convert to fraction form
    23,918/35,882.76 = 7,502/x
  3. Step 3: Cross multiply
    23,918x = 35,882.76 × 7,502
  4. Step 4: Simplify right side
    23,918x = 269,192,465.52
  5. Step 5: Solve for x
    x = 269,192,465.52/23,918
  6. Step 6: Final answer
    x = 11,254.81

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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.