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Finding the Fourth Proportional to 11,969.49, 17,897.24 and 10,923.83

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Solution

The fourth proportional to 11,969.49, 17,897.24 and 10,923.83 is: 16,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.49 : 17,897.24 = 10,923.83 : x
  2. Step 2: Convert to fraction form
    11,969.49/17,897.24 = 10,923.83/x
  3. Step 3: Cross multiply
    11,969.49x = 17,897.24 × 10,923.83
  4. Step 4: Simplify right side
    11,969.49x = 195,506,263.12
  5. Step 5: Solve for x
    x = 195,506,263.12/11,969.49
  6. Step 6: Final answer
    x = 16,333.72

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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.