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Finding the Fourth Proportional to 14,110.11, 19,473.33 and 7,824.03

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Solution

The fourth proportional to 14,110.11, 19,473.33 and 7,824.03 is: 10,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.11 : 19,473.33 = 7,824.03 : x
  2. Step 2: Convert to fraction form
    14,110.11/19,473.33 = 7,824.03/x
  3. Step 3: Cross multiply
    14,110.11x = 19,473.33 × 7,824.03
  4. Step 4: Simplify right side
    14,110.11x = 152,359,918.12
  5. Step 5: Solve for x
    x = 152,359,918.12/14,110.11
  6. Step 6: Final answer
    x = 10,797.93

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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.