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Finding the Fourth Proportional to 16,819.35, 23,210.75 and 9,649.53

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Solution

The fourth proportional to 16,819.35, 23,210.75 and 9,649.53 is: 13,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.35 : 23,210.75 = 9,649.53 : x
  2. Step 2: Convert to fraction form
    16,819.35/23,210.75 = 9,649.53/x
  3. Step 3: Cross multiply
    16,819.35x = 23,210.75 × 9,649.53
  4. Step 4: Simplify right side
    16,819.35x = 223,972,852.57
  5. Step 5: Solve for x
    x = 223,972,852.57/16,819.35
  6. Step 6: Final answer
    x = 13,316.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.