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Finding the Fourth Proportional to 17,134.99, 23,646.84 and 9,478.38

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Solution

The fourth proportional to 17,134.99, 23,646.84 and 9,478.38 is: 13,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.99 : 23,646.84 = 9,478.38 : x
  2. Step 2: Convert to fraction form
    17,134.99/23,646.84 = 9,478.38/x
  3. Step 3: Cross multiply
    17,134.99x = 23,646.84 × 9,478.38
  4. Step 4: Simplify right side
    17,134.99x = 224,133,735.32
  5. Step 5: Solve for x
    x = 224,133,735.32/17,134.99
  6. Step 6: Final answer
    x = 13,080.47

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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.