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Finding the Fourth Proportional to 21,551.52, 32,323.62 and 5,965.50

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Solution

The fourth proportional to 21,551.52, 32,323.62 and 5,965.50 is: 8,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,551.52 : 32,323.62 = 5,965.50 : x
  2. Step 2: Convert to fraction form
    21,551.52/32,323.62 = 5,965.50/x
  3. Step 3: Cross multiply
    21,551.52x = 32,323.62 × 5,965.50
  4. Step 4: Simplify right side
    21,551.52x = 192,826,555.11
  5. Step 5: Solve for x
    x = 192,826,555.11/21,551.52
  6. Step 6: Final answer
    x = 8,947.24

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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.