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Finding the Fourth Proportional to 14,561.40, 21,850.02 and 6,353.40

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Solution

The fourth proportional to 14,561.40, 21,850.02 and 6,353.40 is: 9,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.40 : 21,850.02 = 6,353.40 : x
  2. Step 2: Convert to fraction form
    14,561.40/21,850.02 = 6,353.40/x
  3. Step 3: Cross multiply
    14,561.40x = 21,850.02 × 6,353.40
  4. Step 4: Simplify right side
    14,561.40x = 138,821,917.07
  5. Step 5: Solve for x
    x = 138,821,917.07/14,561.40
  6. Step 6: Final answer
    x = 9,533.56

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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.