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Finding the Fourth Proportional to 21,450.68, 32,154.15 and 13,125.50

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Solution

The fourth proportional to 21,450.68, 32,154.15 and 13,125.50 is: 19,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,450.68 : 32,154.15 = 13,125.50 : x
  2. Step 2: Convert to fraction form
    21,450.68/32,154.15 = 13,125.50/x
  3. Step 3: Cross multiply
    21,450.68x = 32,154.15 × 13,125.50
  4. Step 4: Simplify right side
    21,450.68x = 422,039,295.83
  5. Step 5: Solve for x
    x = 422,039,295.83/21,450.68
  6. Step 6: Final answer
    x = 19,674.87

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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.