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Finding the Fourth Proportional to 13,272.94, 19,911.24 and 4,505.50

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Solution

The fourth proportional to 13,272.94, 19,911.24 and 4,505.50 is: 6,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,272.94 : 19,911.24 = 4,505.50 : x
  2. Step 2: Convert to fraction form
    13,272.94/19,911.24 = 4,505.50/x
  3. Step 3: Cross multiply
    13,272.94x = 19,911.24 × 4,505.50
  4. Step 4: Simplify right side
    13,272.94x = 89,710,091.82
  5. Step 5: Solve for x
    x = 89,710,091.82/13,272.94
  6. Step 6: Final answer
    x = 6,758.87

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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.