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Finding the Fourth Proportional to 14,474.34, 19,971.99 and 8,507.20

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Solution

The fourth proportional to 14,474.34, 19,971.99 and 8,507.20 is: 11,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.34 : 19,971.99 = 8,507.20 : x
  2. Step 2: Convert to fraction form
    14,474.34/19,971.99 = 8,507.20/x
  3. Step 3: Cross multiply
    14,474.34x = 19,971.99 × 8,507.20
  4. Step 4: Simplify right side
    14,474.34x = 169,905,738.29
  5. Step 5: Solve for x
    x = 169,905,738.29/14,474.34
  6. Step 6: Final answer
    x = 11,738.41

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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.