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Finding the Fourth Proportional to 16,782.32, 25,174.04 and 5,095.50

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Solution

The fourth proportional to 16,782.32, 25,174.04 and 5,095.50 is: 7,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.32 : 25,174.04 = 5,095.50 : x
  2. Step 2: Convert to fraction form
    16,782.32/25,174.04 = 5,095.50/x
  3. Step 3: Cross multiply
    16,782.32x = 25,174.04 × 5,095.50
  4. Step 4: Simplify right side
    16,782.32x = 128,274,320.82
  5. Step 5: Solve for x
    x = 128,274,320.82/16,782.32
  6. Step 6: Final answer
    x = 7,643.42

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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.