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Finding the Fourth Proportional to 17,204.65, 25,807.52 and 6,111.16

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Solution

The fourth proportional to 17,204.65, 25,807.52 and 6,111.16 is: 9,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.65 : 25,807.52 = 6,111.16 : x
  2. Step 2: Convert to fraction form
    17,204.65/25,807.52 = 6,111.16/x
  3. Step 3: Cross multiply
    17,204.65x = 25,807.52 × 6,111.16
  4. Step 4: Simplify right side
    17,204.65x = 157,713,883.92
  5. Step 5: Solve for x
    x = 157,713,883.92/17,204.65
  6. Step 6: Final answer
    x = 9,166.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.