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Finding the Fourth Proportional to 13,993.29, 21,005.06 and 5,678.91

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Solution

The fourth proportional to 13,993.29, 21,005.06 and 5,678.91 is: 8,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.29 : 21,005.06 = 5,678.91 : x
  2. Step 2: Convert to fraction form
    13,993.29/21,005.06 = 5,678.91/x
  3. Step 3: Cross multiply
    13,993.29x = 21,005.06 × 5,678.91
  4. Step 4: Simplify right side
    13,993.29x = 119,285,816.89
  5. Step 5: Solve for x
    x = 119,285,816.89/13,993.29
  6. Step 6: Final answer
    x = 8,524.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.