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Finding the Fourth Proportional to 16,707.84, 25,064.64 and 8,388.48

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Solution

The fourth proportional to 16,707.84, 25,064.64 and 8,388.48 is: 12,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707.84 : 25,064.64 = 8,388.48 : x
  2. Step 2: Convert to fraction form
    16,707.84/25,064.64 = 8,388.48/x
  3. Step 3: Cross multiply
    16,707.84x = 25,064.64 × 8,388.48
  4. Step 4: Simplify right side
    16,707.84x = 210,254,231.35
  5. Step 5: Solve for x
    x = 210,254,231.35/16,707.84
  6. Step 6: Final answer
    x = 12,584.17

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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.