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Finding the Fourth Proportional to 28,807.50, 43,228.26 and 12,166.46

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Solution

The fourth proportional to 28,807.50, 43,228.26 and 12,166.46 is: 18,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,807.50 : 43,228.26 = 12,166.46 : x
  2. Step 2: Convert to fraction form
    28,807.50/43,228.26 = 12,166.46/x
  3. Step 3: Cross multiply
    28,807.50x = 43,228.26 × 12,166.46
  4. Step 4: Simplify right side
    28,807.50x = 525,934,680.02
  5. Step 5: Solve for x
    x = 525,934,680.02/28,807.50
  6. Step 6: Final answer
    x = 18,256.87

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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.