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Finding the Fourth Proportional to 14,163.86, 21,248.34 and 11,554.50

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Solution

The fourth proportional to 14,163.86, 21,248.34 and 11,554.50 is: 17,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.86 : 21,248.34 = 11,554.50 : x
  2. Step 2: Convert to fraction form
    14,163.86/21,248.34 = 11,554.50/x
  3. Step 3: Cross multiply
    14,163.86x = 21,248.34 × 11,554.50
  4. Step 4: Simplify right side
    14,163.86x = 245,513,944.53
  5. Step 5: Solve for x
    x = 245,513,944.53/14,163.86
  6. Step 6: Final answer
    x = 17,333.83

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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.