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Finding the Fourth Proportional to 16,804, 25,209.76 and 5,118.14

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Solution

The fourth proportional to 16,804, 25,209.76 and 5,118.14 is: 7,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804 : 25,209.76 = 5,118.14 : x
  2. Step 2: Convert to fraction form
    16,804/25,209.76 = 5,118.14/x
  3. Step 3: Cross multiply
    16,804x = 25,209.76 × 5,118.14
  4. Step 4: Simplify right side
    16,804x = 129,027,081.05
  5. Step 5: Solve for x
    x = 129,027,081.05/16,804
  6. Step 6: Final answer
    x = 7,678.36

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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.