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Finding the Fourth Proportional to 12,675.20, 17,485.95 and 8,200.39

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Solution

The fourth proportional to 12,675.20, 17,485.95 and 8,200.39 is: 11,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.20 : 17,485.95 = 8,200.39 : x
  2. Step 2: Convert to fraction form
    12,675.20/17,485.95 = 8,200.39/x
  3. Step 3: Cross multiply
    12,675.20x = 17,485.95 × 8,200.39
  4. Step 4: Simplify right side
    12,675.20x = 143,391,565.81
  5. Step 5: Solve for x
    x = 143,391,565.81/12,675.20
  6. Step 6: Final answer
    x = 11,312.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.