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Finding the Fourth Proportional to 21,564.88, 32,347.31 and 5,982.50

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Solution

The fourth proportional to 21,564.88, 32,347.31 and 5,982.50 is: 8,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.88 : 32,347.31 = 5,982.50 : x
  2. Step 2: Convert to fraction form
    21,564.88/32,347.31 = 5,982.50/x
  3. Step 3: Cross multiply
    21,564.88x = 32,347.31 × 5,982.50
  4. Step 4: Simplify right side
    21,564.88x = 193,517,782.08
  5. Step 5: Solve for x
    x = 193,517,782.08/21,564.88
  6. Step 6: Final answer
    x = 8,973.75

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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.