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Finding the Fourth Proportional to 21,049.24, 31,572.78 and 7,900.60

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Solution

The fourth proportional to 21,049.24, 31,572.78 and 7,900.60 is: 11,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.24 : 31,572.78 = 7,900.60 : x
  2. Step 2: Convert to fraction form
    21,049.24/31,572.78 = 7,900.60/x
  3. Step 3: Cross multiply
    21,049.24x = 31,572.78 × 7,900.60
  4. Step 4: Simplify right side
    21,049.24x = 249,443,905.67
  5. Step 5: Solve for x
    x = 249,443,905.67/21,049.24
  6. Step 6: Final answer
    x = 11,850.49

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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.