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Finding the Fourth Proportional to 14,340.54, 19,796.58 and 9,568.38

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Solution

The fourth proportional to 14,340.54, 19,796.58 and 9,568.38 is: 13,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.54 : 19,796.58 = 9,568.38 : x
  2. Step 2: Convert to fraction form
    14,340.54/19,796.58 = 9,568.38/x
  3. Step 3: Cross multiply
    14,340.54x = 19,796.58 × 9,568.38
  4. Step 4: Simplify right side
    14,340.54x = 189,421,200.14
  5. Step 5: Solve for x
    x = 189,421,200.14/14,340.54
  6. Step 6: Final answer
    x = 13,208.79

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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.