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Finding the Fourth Proportional to 14,481.38, 19,981.68 and 8,513.30

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Solution

The fourth proportional to 14,481.38, 19,981.68 and 8,513.30 is: 11,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.38 : 19,981.68 = 8,513.30 : x
  2. Step 2: Convert to fraction form
    14,481.38/19,981.68 = 8,513.30/x
  3. Step 3: Cross multiply
    14,481.38x = 19,981.68 × 8,513.30
  4. Step 4: Simplify right side
    14,481.38x = 170,110,036.34
  5. Step 5: Solve for x
    x = 170,110,036.34/14,481.38
  6. Step 6: Final answer
    x = 11,746.81

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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.