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Finding the Fourth Proportional to 12,861.37, 19,283.55 and 8,465.50

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Solution

The fourth proportional to 12,861.37, 19,283.55 and 8,465.50 is: 12,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.37 : 19,283.55 = 8,465.50 : x
  2. Step 2: Convert to fraction form
    12,861.37/19,283.55 = 8,465.50/x
  3. Step 3: Cross multiply
    12,861.37x = 19,283.55 × 8,465.50
  4. Step 4: Simplify right side
    12,861.37x = 163,244,892.53
  5. Step 5: Solve for x
    x = 163,244,892.53/12,861.37
  6. Step 6: Final answer
    x = 12,692.65

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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.