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Finding the Fourth Proportional to 13,059.20, 19,596 and 6,133.52

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Solution

The fourth proportional to 13,059.20, 19,596 and 6,133.52 is: 9,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.20 : 19,596 = 6,133.52 : x
  2. Step 2: Convert to fraction form
    13,059.20/19,596 = 6,133.52/x
  3. Step 3: Cross multiply
    13,059.20x = 19,596 × 6,133.52
  4. Step 4: Simplify right side
    13,059.20x = 120,192,457.92
  5. Step 5: Solve for x
    x = 120,192,457.92/13,059.20
  6. Step 6: Final answer
    x = 9,203.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.