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Finding the Fourth Proportional to 17,160, 23,678.16 and 9,604.32

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Solution

The fourth proportional to 17,160, 23,678.16 and 9,604.32 is: 13,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,160 : 23,678.16 = 9,604.32 : x
  2. Step 2: Convert to fraction form
    17,160/23,678.16 = 9,604.32/x
  3. Step 3: Cross multiply
    17,160x = 23,678.16 × 9,604.32
  4. Step 4: Simplify right side
    17,160x = 227,412,625.65
  5. Step 5: Solve for x
    x = 227,412,625.65/17,160
  6. Step 6: Final answer
    x = 13,252.48

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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.