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Finding the Fourth Proportional to 14,463.89, 19,958.54 and 8,176.26

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Solution

The fourth proportional to 14,463.89, 19,958.54 and 8,176.26 is: 11,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.89 : 19,958.54 = 8,176.26 : x
  2. Step 2: Convert to fraction form
    14,463.89/19,958.54 = 8,176.26/x
  3. Step 3: Cross multiply
    14,463.89x = 19,958.54 × 8,176.26
  4. Step 4: Simplify right side
    14,463.89x = 163,186,171.38
  5. Step 5: Solve for x
    x = 163,186,171.38/14,463.89
  6. Step 6: Final answer
    x = 11,282.32

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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.