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Finding the Fourth Proportional to 22,470, 33,708.96 and 7,675.45

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Solution

The fourth proportional to 22,470, 33,708.96 and 7,675.45 is: 11,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470 : 33,708.96 = 7,675.45 : x
  2. Step 2: Convert to fraction form
    22,470/33,708.96 = 7,675.45/x
  3. Step 3: Cross multiply
    22,470x = 33,708.96 × 7,675.45
  4. Step 4: Simplify right side
    22,470x = 258,731,437.03
  5. Step 5: Solve for x
    x = 258,731,437.03/22,470
  6. Step 6: Final answer
    x = 11,514.53

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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.