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Finding the Fourth Proportional to 28,462.92, 42,706.70 and 11,826.60

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Solution

The fourth proportional to 28,462.92, 42,706.70 and 11,826.60 is: 17,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,462.92 : 42,706.70 = 11,826.60 : x
  2. Step 2: Convert to fraction form
    28,462.92/42,706.70 = 11,826.60/x
  3. Step 3: Cross multiply
    28,462.92x = 42,706.70 × 11,826.60
  4. Step 4: Simplify right side
    28,462.92x = 505,075,058.22
  5. Step 5: Solve for x
    x = 505,075,058.22/28,462.92
  6. Step 6: Final answer
    x = 17,745.02

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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.