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Finding the Fourth Proportional to 13,250.50, 19,861.14 and 8,559.40

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Solution

The fourth proportional to 13,250.50, 19,861.14 and 8,559.40 is: 12,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.50 : 19,861.14 = 8,559.40 : x
  2. Step 2: Convert to fraction form
    13,250.50/19,861.14 = 8,559.40/x
  3. Step 3: Cross multiply
    13,250.50x = 19,861.14 × 8,559.40
  4. Step 4: Simplify right side
    13,250.50x = 169,999,441.72
  5. Step 5: Solve for x
    x = 169,999,441.72/13,250.50
  6. Step 6: Final answer
    x = 12,829.66

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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.