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Finding the Fourth Proportional to 28,532.50, 42,763.69 and 16,026.23

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Solution

The fourth proportional to 28,532.50, 42,763.69 and 16,026.23 is: 24,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,532.50 : 42,763.69 = 16,026.23 : x
  2. Step 2: Convert to fraction form
    28,532.50/42,763.69 = 16,026.23/x
  3. Step 3: Cross multiply
    28,532.50x = 42,763.69 × 16,026.23
  4. Step 4: Simplify right side
    28,532.50x = 685,340,748.30
  5. Step 5: Solve for x
    x = 685,340,748.30/28,532.50
  6. Step 6: Final answer
    x = 24,019.66

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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.