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Finding the Fourth Proportional to 14,217.54, 19,621.06 and 7,844.14

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Solution

The fourth proportional to 14,217.54, 19,621.06 and 7,844.14 is: 10,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217.54 : 19,621.06 = 7,844.14 : x
  2. Step 2: Convert to fraction form
    14,217.54/19,621.06 = 7,844.14/x
  3. Step 3: Cross multiply
    14,217.54x = 19,621.06 × 7,844.14
  4. Step 4: Simplify right side
    14,217.54x = 153,910,341.59
  5. Step 5: Solve for x
    x = 153,910,341.59/14,217.54
  6. Step 6: Final answer
    x = 10,825.38

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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.