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Finding the Fourth Proportional to 14,193.52, 19,563.06 and 9,709.54

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Solution

The fourth proportional to 14,193.52, 19,563.06 and 9,709.54 is: 13,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.52 : 19,563.06 = 9,709.54 : x
  2. Step 2: Convert to fraction form
    14,193.52/19,563.06 = 9,709.54/x
  3. Step 3: Cross multiply
    14,193.52x = 19,563.06 × 9,709.54
  4. Step 4: Simplify right side
    14,193.52x = 189,948,313.59
  5. Step 5: Solve for x
    x = 189,948,313.59/14,193.52
  6. Step 6: Final answer
    x = 13,382.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.