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Finding the Fourth Proportional to 17,468.65, 26,202.98 and 5,782.78

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Solution

The fourth proportional to 17,468.65, 26,202.98 and 5,782.78 is: 8,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468.65 : 26,202.98 = 5,782.78 : x
  2. Step 2: Convert to fraction form
    17,468.65/26,202.98 = 5,782.78/x
  3. Step 3: Cross multiply
    17,468.65x = 26,202.98 × 5,782.78
  4. Step 4: Simplify right side
    17,468.65x = 151,526,068.68
  5. Step 5: Solve for x
    x = 151,526,068.68/17,468.65
  6. Step 6: Final answer
    x = 8,674.17

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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.