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Finding the Fourth Proportional to 14,346.01, 19,789.25 and 8,959.08

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Solution

The fourth proportional to 14,346.01, 19,789.25 and 8,959.08 is: 12,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346.01 : 19,789.25 = 8,959.08 : x
  2. Step 2: Convert to fraction form
    14,346.01/19,789.25 = 8,959.08/x
  3. Step 3: Cross multiply
    14,346.01x = 19,789.25 × 8,959.08
  4. Step 4: Simplify right side
    14,346.01x = 177,293,503.30
  5. Step 5: Solve for x
    x = 177,293,503.30/14,346.01
  6. Step 6: Final answer
    x = 12,358.38

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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.