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Finding the Fourth Proportional to 21,323.34, 31,989.69 and 6,533.37

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Solution

The fourth proportional to 21,323.34, 31,989.69 and 6,533.37 is: 9,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.34 : 31,989.69 = 6,533.37 : x
  2. Step 2: Convert to fraction form
    21,323.34/31,989.69 = 6,533.37/x
  3. Step 3: Cross multiply
    21,323.34x = 31,989.69 × 6,533.37
  4. Step 4: Simplify right side
    21,323.34x = 209,000,480.96
  5. Step 5: Solve for x
    x = 209,000,480.96/21,323.34
  6. Step 6: Final answer
    x = 9,801.49

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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.