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Finding the Fourth Proportional to 15,874.38, 21,903.75 and 9,584.46

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Solution

The fourth proportional to 15,874.38, 21,903.75 and 9,584.46 is: 13,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.38 : 21,903.75 = 9,584.46 : x
  2. Step 2: Convert to fraction form
    15,874.38/21,903.75 = 9,584.46/x
  3. Step 3: Cross multiply
    15,874.38x = 21,903.75 × 9,584.46
  4. Step 4: Simplify right side
    15,874.38x = 209,935,615.73
  5. Step 5: Solve for x
    x = 209,935,615.73/15,874.38
  6. Step 6: Final answer
    x = 13,224.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.