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Finding the Fourth Proportional to 14,401.94, 19,867.82 and 8,429.94

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Solution

The fourth proportional to 14,401.94, 19,867.82 and 8,429.94 is: 11,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.94 : 19,867.82 = 8,429.94 : x
  2. Step 2: Convert to fraction form
    14,401.94/19,867.82 = 8,429.94/x
  3. Step 3: Cross multiply
    14,401.94x = 19,867.82 × 8,429.94
  4. Step 4: Simplify right side
    14,401.94x = 167,484,488.38
  5. Step 5: Solve for x
    x = 167,484,488.38/14,401.94
  6. Step 6: Final answer
    x = 11,629.30

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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.