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Finding the Fourth Proportional to 14,433, 19,917.54 and 7,809

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Solution

The fourth proportional to 14,433, 19,917.54 and 7,809 is: 10,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433 : 19,917.54 = 7,809 : x
  2. Step 2: Convert to fraction form
    14,433/19,917.54 = 7,809/x
  3. Step 3: Cross multiply
    14,433x = 19,917.54 × 7,809
  4. Step 4: Simplify right side
    14,433x = 155,536,069.86
  5. Step 5: Solve for x
    x = 155,536,069.86/14,433
  6. Step 6: Final answer
    x = 10,776.42

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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.