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Finding the Fourth Proportional to 19,989.24, 29,978.63 and 5,945.49

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Solution

The fourth proportional to 19,989.24, 29,978.63 and 5,945.49 is: 8,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989.24 : 29,978.63 = 5,945.49 : x
  2. Step 2: Convert to fraction form
    19,989.24/29,978.63 = 5,945.49/x
  3. Step 3: Cross multiply
    19,989.24x = 29,978.63 × 5,945.49
  4. Step 4: Simplify right side
    19,989.24x = 178,237,615.15
  5. Step 5: Solve for x
    x = 178,237,615.15/19,989.24
  6. Step 6: Final answer
    x = 8,916.68

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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.