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Finding the Fourth Proportional to 21,427.81, 32,141.71 and 9,744.37

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Solution

The fourth proportional to 21,427.81, 32,141.71 and 9,744.37 is: 14,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,427.81 : 32,141.71 = 9,744.37 : x
  2. Step 2: Convert to fraction form
    21,427.81/32,141.71 = 9,744.37/x
  3. Step 3: Cross multiply
    21,427.81x = 32,141.71 × 9,744.37
  4. Step 4: Simplify right side
    21,427.81x = 313,200,646.50
  5. Step 5: Solve for x
    x = 313,200,646.50/21,427.81
  6. Step 6: Final answer
    x = 14,616.55

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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.