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Finding the Fourth Proportional to 14,059.63, 19,403.20 and 7,772

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Solution

The fourth proportional to 14,059.63, 19,403.20 and 7,772 is: 10,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.63 : 19,403.20 = 7,772 : x
  2. Step 2: Convert to fraction form
    14,059.63/19,403.20 = 7,772/x
  3. Step 3: Cross multiply
    14,059.63x = 19,403.20 × 7,772
  4. Step 4: Simplify right side
    14,059.63x = 150,801,631.54
  5. Step 5: Solve for x
    x = 150,801,631.54/14,059.63
  6. Step 6: Final answer
    x = 10,725.86

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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.