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Finding the Fourth Proportional to 21,555.37, 32,333.06 and 5,973

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Solution

The fourth proportional to 21,555.37, 32,333.06 and 5,973 is: 8,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,555.37 : 32,333.06 = 5,973 : x
  2. Step 2: Convert to fraction form
    21,555.37/32,333.06 = 5,973/x
  3. Step 3: Cross multiply
    21,555.37x = 32,333.06 × 5,973
  4. Step 4: Simplify right side
    21,555.37x = 193,125,367.38
  5. Step 5: Solve for x
    x = 193,125,367.38/21,555.37
  6. Step 6: Final answer
    x = 8,959.50

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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.