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Finding the Fourth Proportional to 28,667.50, 43,007.40 and 11,137.30

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Solution

The fourth proportional to 28,667.50, 43,007.40 and 11,137.30 is: 16,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,667.50 : 43,007.40 = 11,137.30 : x
  2. Step 2: Convert to fraction form
    28,667.50/43,007.40 = 11,137.30/x
  3. Step 3: Cross multiply
    28,667.50x = 43,007.40 × 11,137.30
  4. Step 4: Simplify right side
    28,667.50x = 478,986,316.02
  5. Step 5: Solve for x
    x = 478,986,316.02/28,667.50
  6. Step 6: Final answer
    x = 16,708.34

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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.