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Finding the Fourth Proportional to 22,594.50, 33,903.57 and 16,405.63

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Solution

The fourth proportional to 22,594.50, 33,903.57 and 16,405.63 is: 24,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.50 : 33,903.57 = 16,405.63 : x
  2. Step 2: Convert to fraction form
    22,594.50/33,903.57 = 16,405.63/x
  3. Step 3: Cross multiply
    22,594.50x = 33,903.57 × 16,405.63
  4. Step 4: Simplify right side
    22,594.50x = 556,209,487.98
  5. Step 5: Solve for x
    x = 556,209,487.98/22,594.50
  6. Step 6: Final answer
    x = 24,617.03

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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.