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Finding the Fourth Proportional to 14,904, 20,568.06 and 8,190.24

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Solution

The fourth proportional to 14,904, 20,568.06 and 8,190.24 is: 11,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904 : 20,568.06 = 8,190.24 : x
  2. Step 2: Convert to fraction form
    14,904/20,568.06 = 8,190.24/x
  3. Step 3: Cross multiply
    14,904x = 20,568.06 × 8,190.24
  4. Step 4: Simplify right side
    14,904x = 168,457,347.73
  5. Step 5: Solve for x
    x = 168,457,347.73/14,904
  6. Step 6: Final answer
    x = 11,302.83

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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.