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Finding the Fourth Proportional to 13,059.10, 19,591.89 and 6,125.50

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Solution

The fourth proportional to 13,059.10, 19,591.89 and 6,125.50 is: 9,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.10 : 19,591.89 = 6,125.50 : x
  2. Step 2: Convert to fraction form
    13,059.10/19,591.89 = 6,125.50/x
  3. Step 3: Cross multiply
    13,059.10x = 19,591.89 × 6,125.50
  4. Step 4: Simplify right side
    13,059.10x = 120,010,122.20
  5. Step 5: Solve for x
    x = 120,010,122.20/13,059.10
  6. Step 6: Final answer
    x = 9,189.77

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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.