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Finding the Fourth Proportional to 14,561.25, 21,845.76 and 5,202.24

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Solution

The fourth proportional to 14,561.25, 21,845.76 and 5,202.24 is: 7,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.25 : 21,845.76 = 5,202.24 : x
  2. Step 2: Convert to fraction form
    14,561.25/21,845.76 = 5,202.24/x
  3. Step 3: Cross multiply
    14,561.25x = 21,845.76 × 5,202.24
  4. Step 4: Simplify right side
    14,561.25x = 113,646,886.50
  5. Step 5: Solve for x
    x = 113,646,886.50/14,561.25
  6. Step 6: Final answer
    x = 7,804.75

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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.